100890680 has 64 divisors (see below), whose sum is σ = 248676480. Its totient is φ = 36534400.

The previous prime is 100890679. The next prime is 100890683. The reversal of 100890680 is 86098001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100890683) 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 15 ways as a sum of consecutive naturals, for example, 205235 + ... + 205725.

It is an arithmetic number, because the mean of its divisors is an integer number (3885570).

Almost surely, 2^100890680 is an apocalyptic number.

100890680 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 100890680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124338240).

100890680 is an abundant number, since it is smaller than the sum of its proper divisors (147785800).

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

100890680 is a wasteful number, since it uses less digits than its factorization.

100890680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 100890680 is about 10044.4352753154. The cubic root of 100890680 is about 465.5328689089.

The spelling of 100890680 in words is "one hundred million, eight hundred ninety thousand, six hundred eighty".