100023072 has 24 divisors (see below), whose sum is σ = 262560816. Its totient is φ = 33340992.

The previous prime is 100023043. The next prime is 100023101. The reversal of 100023072 is 270320001.

It is an interprime number because it is at equal distance from previous prime (100023043) and next prime (100023101).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×100023072² = 20009229864634368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 520858 + ... + 521049.

It is an arithmetic number, because the mean of its divisors is an integer number (10940034).

Almost surely, 2^100023072 is an apocalyptic number.

100023072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100023072 is an abundant number, since it is smaller than the sum of its proper divisors (162537744).

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

100023072 is a wasteful number, since it uses less digits than its factorization.

100023072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041920 (or 1041912 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 100023072 is about 10001.1535334680. The cubic root of 100023072 is about 464.1945775288.

Adding to 100023072 its reverse (270320001), we get a palindrome (370343073).

The spelling of 100023072 in words is "one hundred million, twenty-three thousand, seventy-two".