100727304 has 64 divisors (see below), whose sum is σ = 264176640. Its totient is φ = 31944000.

The previous prime is 100727299. The next prime is 100727321. The reversal of 100727304 is 403727001.

It is a super-2 number, since 2×100727304² = 20291979542216832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138189 + ... + 138915.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2^100727304 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 100727304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

100727304 is an abundant number, since it is smaller than the sum of its proper divisors (163449336).

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

100727304 is a wasteful number, since it uses less digits than its factorization.

100727304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 100727304 is about 10036.2993179757. The cubic root of 100727304 is about 465.2814482990.

The spelling of 100727304 in words is "one hundred million, seven hundred twenty-seven thousand, three hundred four".