100071072 has 48 divisors (see below), whose sum is σ = 291876480. Its totient is φ = 33356736.

The previous prime is 100071067. The next prime is 100071089. The reversal of 100071072 is 270170001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 57048 + ... + 58775.

It is an arithmetic number, because the mean of its divisors is an integer number (6080760).

Almost surely, 2^100071072 is an apocalyptic number.

100071072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100071072 is an abundant number, since it is smaller than the sum of its proper divisors (191805408).

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

100071072 is a wasteful number, since it uses less digits than its factorization.

100071072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115842 (or 115828 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 100071072 is about 10003.5529688206. The cubic root of 100071072 is about 464.2688196546.

The spelling of 100071072 in words is "one hundred million, seventy-one thousand, seventy-two".