100491552 has 108 divisors (see below), whose sum is σ = 332476326. Its totient is φ = 28707840.

The previous prime is 100491509. The next prime is 100491563. The reversal of 100491552 is 255194001.

100491552 is a `hidden beast` number, since 100 + 4 + 9 + 1 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99920016 + 571536 = 9996^2 + 756^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10552 + ... + 17672.

Almost surely, 2^100491552 is an apocalyptic number.

100491552 is a gapful number since it is divisible by the number (12) 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 100491552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166238163).

100491552 is an abundant number, since it is smaller than the sum of its proper divisors (231984774).

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

100491552 is a wasteful number, since it uses less digits than its factorization.

100491552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7151 (or 7133 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 100491552 is about 10024.5474710832. The cubic root of 100491552 is about 464.9181680487.

The spelling of 100491552 in words is "one hundred million, four hundred ninety-one thousand, five hundred fifty-two".