100837872 has 100 divisors (see below), whose sum is σ = 302030520. Its totient is φ = 32441472.

The previous prime is 100837817. The next prime is 100837907. The reversal of 100837872 is 278738001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36243 + ... + 38925.

Almost surely, 2^100837872 is an apocalyptic number.

100837872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100837872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151015260).

100837872 is an abundant number, since it is smaller than the sum of its proper divisors (201192648).

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

100837872 is a wasteful number, since it uses less digits than its factorization.

100837872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 100837872 is about 10041.8062120318. The cubic root of 100837872 is about 465.4516319694.

It can be divided in two parts, 10083 and 7872, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 100837872 in words is "one hundred million, eight hundred thirty-seven thousand, eight hundred seventy-two".