101132400 has 120 divisors (see below), whose sum is σ = 328800384. Its totient is φ = 26566400.

The previous prime is 101132389. The next prime is 101132407. The reversal of 101132400 is 4231101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84607 + ... + 85793.

Almost surely, 2^101132400 is an apocalyptic number.

101132400 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 101132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164400192).

101132400 is an abundant number, since it is smaller than the sum of its proper divisors (227667984).

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

101132400 is a wasteful number, since it uses less digits than its factorization.

101132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101132400 is about 10056.4606099761. The cubic root of 101132400 is about 465.9043563343.

Adding to 101132400 its reverse (4231101), we get a palindrome (105363501).

It can be divided in two parts, 1011 and 32400, that added together give a triangular number (33411 = T₂₅₈).

The spelling of 101132400 in words is "one hundred one million, one hundred thirty-two thousand, four hundred".