100675072 has 80 divisors (see below), whose sum is σ = 216057600. Its totient is φ = 46725120.

The previous prime is 100675067. The next prime is 100675087. The reversal of 100675072 is 270576001.

It is a self number, because there is not a number n which added to its sum of digits gives 100675072.

It is a congruent number.

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, 768447 + ... + 768577.

It is an arithmetic number, because the mean of its divisors is an integer number (2700720).

Almost surely, 2^100675072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100675072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108028800).

100675072 is an abundant number, since it is smaller than the sum of its proper divisors (115382528).

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

100675072 is an equidigital number, since it uses as much as digits as its factorization.

100675072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 100675072 is about 10033.6968261952. The cubic root of 100675072 is about 465.2010107164.

The spelling of 100675072 in words is "one hundred million, six hundred seventy-five thousand, seventy-two".