100125672 has 32 divisors (see below), whose sum is σ = 256138080. Its totient is φ = 32598720.

The previous prime is 100125667. The next prime is 100125677. The reversal of 100125672 is 276521001.

It is an interprime number because it is at equal distance from previous prime (100125667) and next prime (100125677).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100125677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47479 + ... + 49542.

It is an arithmetic number, because the mean of its divisors is an integer number (8004315).

Almost surely, 2^100125672 is an apocalyptic number.

100125672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100125672 is an abundant number, since it is smaller than the sum of its proper divisors (156012408).

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

100125672 is a wasteful number, since it uses less digits than its factorization.

100125672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97073 (or 97069 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 100125672 is about 10006.2816270581. The cubic root of 100125672 is about 464.3532412168.

Adding to 100125672 its reverse (276521001), we get a palindrome (376646673).

The spelling of 100125672 in words is "one hundred million, one hundred twenty-five thousand, six hundred seventy-two".