Search a number
-
+
99477105 = 35721329359
BaseRepresentation
bin1011110110111…
…10011001110001
320221011221221020
411323132121301
5200431231410
613512050053
72315353500
oct573363161
9227157836
1099477105
1151174692
1229393929
13177bc7c0
14d2d6837
158aeea70
hex5ede671

99477105 has 96 divisors (see below), whose sum is σ = 206841600. Its totient is φ = 40416768.

The previous prime is 99477083. The next prime is 99477113. The reversal of 99477105 is 50177499.

It is a happy number.

It is not a de Polignac number, because 99477105 - 26 = 99477041 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 276916 + ... + 277274.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 299477105 is an apocalyptic number.

It is an amenable number.

99477105 is an abundant number, since it is smaller than the sum of its proper divisors (107364495).

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

99477105 is a wasteful number, since it uses less digits than its factorization.

99477105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The square root of 99477105 is about 9973.8209829533. The cubic root of 99477105 is about 463.3484479424.

The spelling of 99477105 in words is "ninety-nine million, four hundred seventy-seven thousand, one hundred five".

Divisors: 1 3 5 7 13 15 21 29 35 39 49 65 87 91 105 145 147 195 203 245 273 359 377 435 455 609 637 735 1015 1077 1131 1365 1421 1795 1885 1911 2513 2639 3045 3185 4263 4667 5385 5655 7105 7539 7917 9555 10411 12565 13195 14001 17591 18473 21315 23335 31233 32669 37695 39585 52055 52773 55419 70005 72877 87955 92365 98007 135343 156165 163345 218631 228683 263865 277095 364385 406029 490035 510139 676715 686049 947401 1093155 1143415 1530417 2030145 2550695 2842203 3430245 4737005 6631807 7652085 14211015 19895421 33159035 99477105