100712400 has 240 divisors, whose sum is σ = 348727680. Its totient is φ = 24780800.

The previous prime is 100712393. The next prime is 100712401. The reversal of 100712400 is 4217001.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100712400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100712401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1131556 + ... + 1131644.

It is an arithmetic number, because the mean of its divisors is an integer number (1453032).

Almost surely, 2^100712400 is an apocalyptic number.

100712400 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 100712400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174363840).

100712400 is an abundant number, since it is smaller than the sum of its proper divisors (248015280).

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

100712400 is a wasteful number, since it uses less digits than its factorization.

100712400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 100712400 is about 10035.5567857494. The cubic root of 100712400 is about 465.2584988885.

Adding to 100712400 its reverse (4217001), we get a palindrome (104929401).

The spelling of 100712400 in words is "one hundred million, seven hundred twelve thousand, four hundred".