100281408 has 56 divisors (see below), whose sum is σ = 271820640. Its totient is φ = 32609280.

The previous prime is 100281371. The next prime is 100281431. The reversal of 100281408 is 804182001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1503 + ... + 14241.

It is an arithmetic number, because the mean of its divisors is an integer number (4853940).

Almost surely, 2^100281408 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 100281408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135910320).

100281408 is an abundant number, since it is smaller than the sum of its proper divisors (171539232).

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

100281408 is a wasteful number, since it uses less digits than its factorization.

100281408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12795 (or 12785 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 100281408 is about 10014.0605150958. The cubic root of 100281408 is about 464.5938689981.

The spelling of 100281408 in words is "one hundred million, two hundred eighty-one thousand, four hundred eight".