100355400 has 144 divisors (see below), whose sum is σ = 340454400. Its totient is φ = 26490240.

The previous prime is 100355389. The next prime is 100355441. The reversal of 100355400 is 4553001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 228381 + ... + 228819.

Almost surely, 2^100355400 is an apocalyptic number.

100355400 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 100355400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170227200).

100355400 is an abundant number, since it is smaller than the sum of its proper divisors (240099000).

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

100355400 is a wasteful number, since it uses less digits than its factorization.

100355400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 100355400 is about 10017.7542393493. The cubic root of 100355400 is about 464.7081067847.

The spelling of 100355400 in words is "one hundred million, three hundred fifty-five thousand, four hundred".