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105964425 = 32527193541
BaseRepresentation
bin1100101000011…
…10001110001001
321101101112212100
412110032032021
5204111330200
614303104013
72424453120
oct624161611
9241345770
10105964425
11548a5706
122b5a2009
1318c51558
1410104ab7
159481d00
hex650e389

105964425 has 72 divisors (see below), whose sum is σ = 228388160. Its totient is φ = 45878400.

The previous prime is 105964423. The next prime is 105964429. The reversal of 105964425 is 524469501.

105964425 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 644 + 2 + 5 = 666.

It is not a de Polignac number, because 105964425 - 21 = 105964423 is a prime.

It is a super-2 number, since 2×1059644252 = 22456918731161250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105964425.

It is not an unprimeable number, because it can be changed into a prime (105964421) 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, 28155 + ... + 31695.

Almost surely, 2105964425 is an apocalyptic number.

105964425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105964425 is an abundant number, since it is smaller than the sum of its proper divisors (122423735).

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

105964425 is a wasteful number, since it uses less digits than its factorization.

105964425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 105964425 is about 10293.9023212774. The cubic root of 105964425 is about 473.2093988273.

The spelling of 105964425 in words is "one hundred five million, nine hundred sixty-four thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 57 63 75 95 105 133 171 175 225 285 315 399 475 525 665 855 1197 1425 1575 1995 3325 3541 4275 5985 9975 10623 17705 24787 29925 31869 53115 67279 74361 88525 123935 159345 201837 223083 265575 336395 371805 470953 605511 619675 796725 1009185 1115415 1412859 1681975 1859025 2354765 3027555 4238577 5045925 5577075 7064295 11773825 15137775 21192885 35321475 105964425