100388400 has 480 divisors, whose sum is σ = 420687360. Its totient is φ = 19906560.

The previous prime is 100388389. The next prime is 100388429. The reversal of 100388400 is 4883001.

It is a super-3 number, since 3×100388400³ (a number of 25 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 2713182 + ... + 2713218.

It is an arithmetic number, because the mean of its divisors is an integer number (876432).

Almost surely, 2^100388400 is an apocalyptic number.

100388400 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 100388400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210343680).

100388400 is an abundant number, since it is smaller than the sum of its proper divisors (320298960).

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

100388400 is a wasteful number, since it uses less digits than its factorization.

100388400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

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

The square root of 100388400 is about 10019.4011797113. The cubic root of 100388400 is about 464.7590380647.

The spelling of 100388400 in words is "one hundred million, three hundred eighty-eight thousand, four hundred".