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107424405 = 325112109181
BaseRepresentation
bin1100110011100…
…10101010010101
321111010201120200
412121302222111
5210000040110
614354251113
72443043454
oct631625225
9244121520
10107424405
1155702600
122bb86a99
1319342c4a
14103a4b9b
15966e6c0
hex6672a95

107424405 has 72 divisors (see below), whose sum is σ = 207687480. Its totient is φ = 51321600.

The previous prime is 107424403. The next prime is 107424407. The reversal of 107424405 is 504424701.

It is an interprime number because it is at equal distance from previous prime (107424403) and next prime (107424407).

It can be written as a sum of positive squares in 4 ways, for example, as 736164 + 106688241 = 858^2 + 10329^2 .

It is not a de Polignac number, because 107424405 - 21 = 107424403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107424403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 593415 + ... + 593595.

Almost surely, 2107424405 is an apocalyptic number.

107424405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107424405 is a deficient number, since it is larger than the sum of its proper divisors (100263075).

107424405 is a wasteful number, since it uses less digits than its factorization.

107424405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 107424405 is about 10364.5745209343. The cubic root of 107424405 is about 475.3727895299.

The spelling of 107424405 in words is "one hundred seven million, four hundred twenty-four thousand, four hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 109 121 165 181 327 363 495 543 545 605 905 981 1089 1199 1629 1635 1815 1991 2715 3597 4905 5445 5973 5995 8145 9955 10791 13189 17919 17985 19729 21901 29865 39567 53955 59187 65703 65945 89595 98645 109505 118701 177561 197109 197835 217019 295935 328515 593505 651057 887805 985545 1085095 1953171 2387209 3255285 7161627 9765855 11936045 21484881 35808135 107424405