100858072 has 48 divisors (see below), whose sum is σ = 220856760. Its totient is φ = 43053696.

The previous prime is 100858067. The next prime is 100858111. The reversal of 100858072 is 270858001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178863 + ... + 179425.

Almost surely, 2^100858072 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 100858072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110428380).

100858072 is an abundant number, since it is smaller than the sum of its proper divisors (119998688).

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

100858072 is a wasteful number, since it uses less digits than its factorization.

100858072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 100858072 is about 10042.8119568177. The cubic root of 100858072 is about 465.4827098935.

The spelling of 100858072 in words is "one hundred million, eight hundred fifty-eight thousand, seventy-two".