100472960 has 128 divisors (see below), whose sum is σ = 281715840. Its totient is φ = 33546240.

The previous prime is 100472951. The next prime is 100472963. The reversal of 100472960 is 69274001.

100472960 = T₂₈₁ + T₂₈₂ + ... + T₈₅₄.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (100472963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183407 + ... + 183953.

It is an arithmetic number, because the mean of its divisors is an integer number (2200905).

Almost surely, 2^100472960 is an apocalyptic number.

100472960 is a gapful number since it is divisible by the number (10) 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 100472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140857920).

100472960 is an abundant number, since it is smaller than the sum of its proper divisors (181242880).

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

100472960 is an equidigital number, since it uses as much as digits as its factorization.

100472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 100472960 is about 10023.6201045331. The cubic root of 100472960 is about 464.8894946875.

The spelling of 100472960 in words is "one hundred million, four hundred seventy-two thousand, nine hundred sixty".