100513872 has 50 divisors (see below), whose sum is σ = 290920058. Its totient is φ = 33504192.

The previous prime is 100513823. The next prime is 100513891. The reversal of 100513872 is 278315001.

It can be written as a sum of positive squares in only one way, i.e., 70963776 + 29550096 = 8424^2 + 5436^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 37483 + ... + 40074.

Almost surely, 2^100513872 is an apocalyptic number.

100513872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100513872 is an abundant number, since it is smaller than the sum of its proper divisors (190406186).

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

100513872 is an equidigital number, since it uses as much as digits as its factorization.

100513872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77577 (or 77562 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 100513872 is about 10025.6606764841. The cubic root of 100513872 is about 464.9525862166.

Adding to 100513872 its reverse (278315001), we get a palindrome (378828873).

The spelling of 100513872 in words is "one hundred million, five hundred thirteen thousand, eight hundred seventy-two".