100561572 has 18 divisors (see below), whose sum is σ = 254197398. Its totient is φ = 33520512.

The previous prime is 100561553. The next prime is 100561607. The reversal of 100561572 is 275165001.

It can be written as a sum of positive squares in only one way, i.e., 70157376 + 30404196 = 8376^2 + 5514^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×100561572² = 20225259526222368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1396653 + ... + 1396724.

Almost surely, 2^100561572 is an apocalyptic number.

100561572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100561572 is an abundant number, since it is smaller than the sum of its proper divisors (153635826).

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

100561572 is a wasteful number, since it uses less digits than its factorization.

100561572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793387 (or 2793382 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 100561572 is about 10028.0392899111. The cubic root of 100561572 is about 465.0261240959.

It can be divided in two parts, 10056 and 1572, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 100561572 in words is "one hundred million, five hundred sixty-one thousand, five hundred seventy-two".