101372400 has 180 divisors, whose sum is σ = 364295880. Its totient is φ = 26073600.

The previous prime is 101372389. The next prime is 101372419. The reversal of 101372400 is 4273101.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

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, 103915 + ... + 104885.

It is an arithmetic number, because the mean of its divisors is an integer number (2023866).

Almost surely, 2^101372400 is an apocalyptic number.

101372400 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 101372400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182147940).

101372400 is an abundant number, since it is smaller than the sum of its proper divisors (262923480).

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

101372400 is a wasteful number, since it uses less digits than its factorization.

101372400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 101372400 is about 10068.3861666108. The cubic root of 101372400 is about 466.2726152040.

It can be divided in two parts, 10137 and 2400, that multiplied together give a triangular number (24328800 = T₆₉₇₅).

The spelling of 101372400 in words is "one hundred one million, three hundred seventy-two thousand, four hundred".