105969625 has 64 divisors (see below), whose sum is σ = 150958080. Its totient is φ = 73920000.

The previous prime is 105969623. The next prime is 105969641. The reversal of 105969625 is 526969501.

105969625 = 16² + 17² + ... + 682².

It is not a de Polignac number, because 105969625 - 2¹ = 105969623 is a prime.

It is a super-2 number, since 2×105969625² = 22459122845281250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105969623) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2584605 + ... + 2584645.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2^105969625 is an apocalyptic number.

It is an amenable number.

105969625 is a deficient number, since it is larger than the sum of its proper divisors (44988455).

105969625 is a wasteful number, since it uses less digits than its factorization.

105969625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 43.

The square root of 105969625 is about 10294.1548948906. The cubic root of 105969625 is about 473.2171393139.

The spelling of 105969625 in words is "one hundred five million, nine hundred sixty-nine thousand, six hundred twenty-five".