100838400 has 264 divisors, whose sum is σ = 362466384. Its totient is φ = 24576000.

The previous prime is 100838399. The next prime is 100838411. The reversal of 100838400 is 4838001.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998350 + ... + 998450.

Almost surely, 2^100838400 is an apocalyptic number.

100838400 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 100838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181233192).

100838400 is an abundant number, since it is smaller than the sum of its proper divisors (261627984).

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

100838400 is a wasteful number, since it uses less digits than its factorization.

100838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 100838400 is about 10041.8325020885. The cubic root of 100838400 is about 465.4524443560.

The spelling of 100838400 in words is "one hundred million, eight hundred thirty-eight thousand, four hundred".