100406880 has 216 divisors, whose sum is σ = 398859552. Its totient is φ = 22934016.

The previous prime is 100406869. The next prime is 100406893. The reversal of 100406880 is 88604001.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 69849 + ... + 71271.

It is an arithmetic number, because the mean of its divisors is an integer number (1846572).

Almost surely, 2^100406880 is an apocalyptic number.

100406880 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 100406880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199429776).

100406880 is an abundant number, since it is smaller than the sum of its proper divisors (298452672).

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

100406880 is a wasteful number, since it uses less digits than its factorization.

100406880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 100406880 is about 10020.3233480761. The cubic root of 100406880 is about 464.7875547062.

The spelling of 100406880 in words is "one hundred million, four hundred six thousand, eight hundred eighty".