101032320 has 128 divisors (see below), whose sum is σ = 325853280. Its totient is φ = 26624000.

The previous prime is 101032319. The next prime is 101032381. The reversal of 101032320 is 23230101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 101032296 and 101032305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193660 + ... + 194180.

Almost surely, 2^101032320 is an apocalyptic number.

101032320 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 101032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162926640).

101032320 is an abundant number, since it is smaller than the sum of its proper divisors (224820960).

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

101032320 is a wasteful number, since it uses less digits than its factorization.

101032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 101032320 is about 10051.4834726024. The cubic root of 101032320 is about 465.7506202508.

Adding to 101032320 its reverse (23230101), we get a palindrome (124262421).

The spelling of 101032320 in words is "one hundred one million, thirty-two thousand, three hundred twenty".