100472736 has 288 divisors, whose sum is σ = 347493888. Its totient is φ = 25159680.

The previous prime is 100472719. The next prime is 100472759. The reversal of 100472736 is 637274001.

It is a super-3 number, since 3×100472736³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1895686 + ... + 1895738.

It is an arithmetic number, because the mean of its divisors is an integer number (1206576).

Almost surely, 2^100472736 is an apocalyptic number.

100472736 is a gapful number since it is divisible by the number (16) 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 100472736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173746944).

100472736 is an abundant number, since it is smaller than the sum of its proper divisors (247021152).

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

100472736 is a wasteful number, since it uses less digits than its factorization.

100472736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 100472736 is about 10023.6089309190. The cubic root of 100472736 is about 464.8891492038.

The spelling of 100472736 in words is "one hundred million, four hundred seventy-two thousand, seven hundred thirty-six".