100268672 has 64 divisors (see below), whose sum is σ = 233245440. Its totient is φ = 42040320.

The previous prime is 100268653. The next prime is 100268683. The reversal of 100268672 is 276862001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40922 + ... + 43302.

It is an arithmetic number, because the mean of its divisors is an integer number (3644460).

Almost surely, 2^100268672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100268672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116622720).

100268672 is an abundant number, since it is smaller than the sum of its proper divisors (132976768).

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

100268672 is an equidigital number, since it uses as much as digits as its factorization.

100268672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 100268672 is about 10013.4245890205. The cubic root of 100268672 is about 464.5741999550.

The spelling of 100268672 in words is "one hundred million, two hundred sixty-eight thousand, six hundred seventy-two".