105542356625 has 64 divisors (see below), whose sum is σ = 142817376000. Its totient is φ = 77598259200.

The previous prime is 105542356597. The next prime is 105542356643. The reversal of 105542356625 is 526653245501.

It is not a de Polignac number, because 105542356625 - 2¹⁰ = 105542355601 is a prime.

It is a super-2 number, since 2×105542356625² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33303041 + ... + 33306209.

It is an arithmetic number, because the mean of its divisors is an integer number (2231521500).

Almost surely, 2^105542356625 is an apocalyptic number.

It is an amenable number.

105542356625 is a deficient number, since it is larger than the sum of its proper divisors (37275019375).

105542356625 is a wasteful number, since it uses less digits than its factorization.

105542356625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3619 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 44.

The spelling of 105542356625 in words is "one hundred five billion, five hundred forty-two million, three hundred fifty-six thousand, six hundred twenty-five".