105008173725 has 96 divisors (see below), whose sum is σ = 216868341760. Its totient is φ = 43649591040.

The previous prime is 105008173717. The next prime is 105008173727. The reversal of 105008173725 is 527371800501.

It is not a de Polignac number, because 105008173725 - 2³ = 105008173717 is a prime.

It is a super-2 number, since 2×105008173725² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105008173727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 342456 + ... + 572094.

Almost surely, 2^105008173725 is an apocalyptic number.

105008173725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105008173725 is an abundant number, since it is smaller than the sum of its proper divisors (111860168035).

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

105008173725 is a wasteful number, since it uses less digits than its factorization.

105008173725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229739 (or 229734 counting only the distinct ones).

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

The spelling of 105008173725 in words is "one hundred five billion, eight million, one hundred seventy-three thousand, seven hundred twenty-five".