105672211725 has 24 divisors (see below), whose sum is σ = 175147129152. Its totient is φ = 56217952000.

The previous prime is 105672211699. The next prime is 105672211739. The reversal of 105672211725 is 527112276501.

It is not a de Polignac number, because 105672211725 - 2⁷ = 105672211597 is a prime.

It is a super-2 number, since 2×105672211725² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1726737 + ... + 1786886.

It is an arithmetic number, because the mean of its divisors is an integer number (7297797048).

Almost surely, 2^105672211725 is an apocalyptic number.

105672211725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105672211725 is a deficient number, since it is larger than the sum of its proper divisors (69474917427).

105672211725 is a wasteful number, since it uses less digits than its factorization.

105672211725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514037 (or 3514032 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

The spelling of 105672211725 in words is "one hundred five billion, six hundred seventy-two million, two hundred eleven thousand, seven hundred twenty-five".