100942800 has 240 divisors, whose sum is σ = 377511552. Its totient is φ = 22579200.

The previous prime is 100942747. The next prime is 100942811. The reversal of 100942800 is 8249001.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 512302 + ... + 512498.

Almost surely, 2^100942800 is an apocalyptic number.

100942800 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 100942800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188755776).

100942800 is an abundant number, since it is smaller than the sum of its proper divisors (276568752).

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

100942800 is a wasteful number, since it uses less digits than its factorization.

100942800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 100942800 is about 10047.0294117217. The cubic root of 100942800 is about 465.6130196758.

The spelling of 100942800 in words is "one hundred million, nine hundred forty-two thousand, eight hundred".