100690560 has 128 divisors (see below), whose sum is σ = 356673600. Its totient is φ = 26846208.

The previous prime is 100690517. The next prime is 100690621. The reversal of 100690560 is 65096001.

100690560 is a `hidden beast` number, since 10 + 0 + 6 + 90 + 560 = 666.

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

It is a super-2 number, since 2×100690560² = 20277177746227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14367 + ... + 20193.

Almost surely, 2^100690560 is an apocalyptic number.

100690560 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 100690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178336800).

100690560 is an abundant number, since it is smaller than the sum of its proper divisors (255983040).

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

100690560 is an equidigital number, since it uses as much as digits as its factorization.

100690560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5855 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 100690560 is about 10034.4685957952. The cubic root of 100690560 is about 465.2248652273.

The spelling of 100690560 in words is "one hundred million, six hundred ninety thousand, five hundred sixty".