100072125 has 64 divisors (see below), whose sum is σ = 187200000. Its totient is φ = 52747200.

The previous prime is 100072097. The next prime is 100072129. The reversal of 100072125 is 521270001.

It is not a de Polignac number, because 100072125 - 2⁷ = 100071997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100072098 and 100072107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100072129) 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, 502776 + ... + 502974.

It is an arithmetic number, because the mean of its divisors is an integer number (2925000).

Almost surely, 2^100072125 is an apocalyptic number.

100072125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100072125 is a deficient number, since it is larger than the sum of its proper divisors (87127875).

100072125 is a wasteful number, since it uses less digits than its factorization.

100072125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 100072125 is about 10003.6055999824. The cubic root of 100072125 is about 464.2704480751.

The spelling of 100072125 in words is "one hundred million, seventy-two thousand, one hundred twenty-five".