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99721125 = 35537267
BaseRepresentation
bin1011111000110…
…01111110100101
320221122100200000
411330121332211
5201012034000
613521211513
72320421100
oct574317645
9227570600
1099721125
1151320a59
1229490b99
13178768aa
14d35b737
158b4c000
hex5f19fa5

99721125 has 144 divisors (see below), whose sum is σ = 220094784. Its totient is φ = 44906400.

The previous prime is 99721121. The next prime is 99721159. The reversal of 99721125 is 52112799.

It is not a de Polignac number, because 99721125 - 22 = 99721121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 99721125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99721121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1488342 + ... + 1488408.

It is an arithmetic number, because the mean of its divisors is an integer number (1528436).

Almost surely, 299721125 is an apocalyptic number.

It is an amenable number.

99721125 is an abundant number, since it is smaller than the sum of its proper divisors (120373659).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99721125 is an equidigital number, since it uses as much as digits as its factorization.

99721125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 82 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 99721125 is about 9986.0465150128. The cubic root of 99721125 is about 463.7270072853.

It can be divided in two parts, 997 and 21125, that added together give a palindrome (22122).

The spelling of 99721125 in words is "ninety-nine million, seven hundred twenty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 67 75 81 105 125 135 147 175 189 201 225 243 245 315 335 375 405 441 469 525 567 603 675 735 875 945 1005 1125 1215 1225 1323 1407 1575 1675 1701 1809 2025 2205 2345 2625 2835 3015 3283 3375 3675 3969 4221 4725 5025 5427 6075 6125 6615 7035 7875 8375 8505 9045 9849 10125 11025 11725 11907 12663 14175 15075 16281 16415 18375 19845 21105 23625 25125 27135 29547 30375 33075 35175 37989 42525 45225 49245 55125 58625 59535 63315 70875 75375 81405 82075 88641 99225 105525 113967 135675 147735 165375 175875 189945 212625 226125 246225 265923 297675 316575 407025 410375 443205 496125 527625 569835 678375 738675 797769 949725 1231125 1329615 1488375 1582875 2035125 2216025 2849175 3693375 3988845 4748625 6648075 11080125 14245875 19944225 33240375 99721125