100090656 has 72 divisors (see below), whose sum is σ = 286073424. Its totient is φ = 33194880.

The previous prime is 100090649. The next prime is 100090657. The reversal of 100090656 is 656090001.

100090656 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 9 + 0 + 656 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (100090657) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 64611 + ... + 66141.

It is an arithmetic number, because the mean of its divisors is an integer number (3973242).

Almost surely, 2^100090656 is an apocalyptic number.

100090656 is a gapful number since it is divisible by the number (16) 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 100090656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143036712).

100090656 is an abundant number, since it is smaller than the sum of its proper divisors (185982768).

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

100090656 is a wasteful number, since it uses less digits than its factorization.

100090656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1763 counting only the distinct ones).

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

The square root of 100090656 is about 10004.5317731516. The cubic root of 100090656 is about 464.2991036229.

The spelling of 100090656 in words is "one hundred million, ninety thousand, six hundred fifty-six".