101332320 has 192 divisors, whose sum is σ = 345461760. Its totient is φ = 24883200.

The previous prime is 101332303. The next prime is 101332337. The reversal of 101332320 is 23233101.

It is an interprime number because it is at equal distance from previous prime (101332303) and next prime (101332337).

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 101332320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373785 + ... + 374055.

It is an arithmetic number, because the mean of its divisors is an integer number (1799280).

Almost surely, 2^101332320 is an apocalyptic number.

101332320 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 101332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172730880).

101332320 is an abundant number, since it is smaller than the sum of its proper divisors (244129440).

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

101332320 is a wasteful number, since it uses less digits than its factorization.

101332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 101332320 is about 10066.3955813389. The cubic root of 101332320 is about 466.2111564312.

Adding to 101332320 its reverse (23233101), we get a palindrome (124565421).

It can be divided in two parts, 1013 and 32320, that added together give a palindrome (33333).

The spelling of 101332320 in words is "one hundred one million, three hundred thirty-two thousand, three hundred twenty".