100290456 has 192 divisors, whose sum is σ = 329472000. Its totient is φ = 27518400.

The previous prime is 100290427. The next prime is 100290479. The reversal of 100290456 is 654092001.

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, 765511 + ... + 765641.

It is an arithmetic number, because the mean of its divisors is an integer number (1716000).

Almost surely, 2^100290456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100290456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164736000).

100290456 is an abundant number, since it is smaller than the sum of its proper divisors (229181544).

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

100290456 is a wasteful number, since it uses less digits than its factorization.

100290456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 100290456 is about 10014.5122697014. The cubic root of 100290456 is about 464.6078414083.

The spelling of 100290456 in words is "one hundred million, two hundred ninety thousand, four hundred fifty-six".