105125905072 has 40 divisors (see below), whose sum is σ = 205753862160. Its totient is φ = 52029358080.

The previous prime is 105125905069. The next prime is 105125905091. The reversal of 105125905072 is 270509521501.

It is a super-2 number, since 2×105125905072² (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 7 ways as a sum of consecutive naturals, for example, 1352547 + ... + 1428157.

It is an arithmetic number, because the mean of its divisors is an integer number (5143846554).

Almost surely, 2^105125905072 is an apocalyptic number.

It is an amenable number.

105125905072 is a deficient number, since it is larger than the sum of its proper divisors (100627957088).

105125905072 is a wasteful number, since it uses less digits than its factorization.

105125905072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76501 (or 76495 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 37.

The spelling of 105125905072 in words is "one hundred five billion, one hundred twenty-five million, nine hundred five thousand, seventy-two".