101310432 has 96 divisors (see below), whose sum is σ = 284457600. Its totient is φ = 31477248.

The previous prime is 101310431. The next prime is 101310439. The reversal of 101310432 is 234013101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101310431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121794 + ... + 122622.

It is an arithmetic number, because the mean of its divisors is an integer number (2963100).

Almost surely, 2^101310432 is an apocalyptic number.

101310432 is a gapful number since it is divisible by the number (12) 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 101310432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142228800).

101310432 is an abundant number, since it is smaller than the sum of its proper divisors (183147168).

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

101310432 is a wasteful number, since it uses less digits than its factorization.

101310432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 101310432 is about 10065.3083410296. The cubic root of 101310432 is about 466.1775864751.

Adding to 101310432 its reverse (234013101), we get a palindrome (335323533).

The spelling of 101310432 in words is "one hundred one million, three hundred ten thousand, four hundred thirty-two".