100102872 has 16 divisors (see below), whose sum is σ = 250257240. Its totient is φ = 33367616.

The previous prime is 100102841. The next prime is 100102901. The reversal of 100102872 is 278201001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2085453 + ... + 2085500.

Almost surely, 2^100102872 is an apocalyptic number.

100102872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100102872 is an abundant number, since it is smaller than the sum of its proper divisors (150154368).

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

100102872 is a wasteful number, since it uses less digits than its factorization.

100102872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4170962 (or 4170958 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 100102872 is about 10005.1422778489. The cubic root of 100102872 is about 464.3179919898.

Adding to 100102872 its reverse (278201001), we get a palindrome (378303873).

The spelling of 100102872 in words is "one hundred million, one hundred two thousand, eight hundred seventy-two".