100893456 has 120 divisors (see below), whose sum is σ = 302230656. Its totient is φ = 31342080.

The previous prime is 100893421. The next prime is 100893461. The reversal of 100893456 is 654398001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 100893456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135421 + ... + 136163.

Almost surely, 2^100893456 is an apocalyptic number.

100893456 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 100893456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151115328).

100893456 is an abundant number, since it is smaller than the sum of its proper divisors (201337200).

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

100893456 is a wasteful number, since it uses less digits than its factorization.

100893456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 100893456 is about 10044.5734603317. The cubic root of 100893456 is about 465.5371385711.

The spelling of 100893456 in words is "one hundred million, eight hundred ninety-three thousand, four hundred fifty-six".