100990472 has 108 divisors (see below), whose sum is σ = 233349165. Its totient is φ = 40930560.

The previous prime is 100990457. The next prime is 100990481. The reversal of 100990472 is 274099001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 92428996 + 8561476 = 9614^2 + 2926^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7106.

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 26 ways as a sum of consecutive naturals, for example, 5315279 + ... + 5315297.

Almost surely, 2^100990472 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 100990472

100990472 is an abundant number, since it is smaller than the sum of its proper divisors (132358693).

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

100990472 is a wasteful number, since it uses less digits than its factorization.

100990472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 100990472 is about 10049.4015742232. The cubic root of 100990472 is about 465.6863060999.

Multiplying 100990472 by its sum of digits (32), we get a square (3231695104 = 56848²).

The spelling of 100990472 in words is "one hundred million, nine hundred ninety thousand, four hundred seventy-two".