100891520 has 64 divisors (see below), whose sum is σ = 253918800. Its totient is φ = 38227968.

The previous prime is 100891513. The next prime is 100891523. The reversal of 100891520 is 25198001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 100891520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100891523) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8012 + ... + 16308.

Almost surely, 2^100891520 is an apocalyptic number.

100891520 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 100891520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126959400).

100891520 is an abundant number, since it is smaller than the sum of its proper divisors (153027280).

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

100891520 is an equidigital number, since it uses as much as digits as its factorization.

100891520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8335 (or 8323 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 100891520 is about 10044.4770894258. The cubic root of 100891520 is about 465.5341608899.

The spelling of 100891520 in words is "one hundred million, eight hundred ninety-one thousand, five hundred twenty".