872400100 has 72 divisors (see below), whose sum is σ = 2224107648. Its totient is φ = 292828800.

The previous prime is 872400079. The next prime is 872400107. The reversal of 872400100 is 1004278.

It is a super-2 number, since 2×872400100² = 1522163868960020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (872400107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16204 + ... + 44803.

It is an arithmetic number, because the mean of its divisors is an integer number (30890384).

Almost surely, 2^872400100 is an apocalyptic number.

It is an amenable number.

872400100 is an abundant number, since it is smaller than the sum of its proper divisors (1351707548).

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

872400100 is a wasteful number, since it uses less digits than its factorization.

872400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61045 (or 61038 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 872400100 is about 29536.4198913816. The cubic root of 872400100 is about 955.5173316140.

Adding to 872400100 its reverse (1004278), we get a palindrome (873404378).

The spelling of 872400100 in words is "eight hundred seventy-two million, four hundred thousand, one hundred".