100826880 has 432 divisors, whose sum is σ = 417564672. Its totient is φ = 20275200.

The previous prime is 100826861. The next prime is 100826897. The reversal of 100826880 is 88628001.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3252465 + ... + 3252495.

Almost surely, 2^100826880 is an apocalyptic number.

100826880 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 100826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208782336).

100826880 is an abundant number, since it is smaller than the sum of its proper divisors (316737792).

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

100826880 is a wasteful number, since it uses less digits than its factorization.

100826880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 100826880 is about 10041.2588852195. The cubic root of 100826880 is about 465.4347189116.

The spelling of 100826880 in words is "one hundred million, eight hundred twenty-six thousand, eight hundred eighty".