100332720 has 120 divisors (see below), whose sum is σ = 338771472. Its totient is φ = 26611200.

The previous prime is 100332707. The next prime is 100332737. The reversal of 100332720 is 27233001.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 100332693 and 100332702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238110 + ... + 238530.

Almost surely, 2^100332720 is an apocalyptic number.

100332720 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 100332720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169385736).

100332720 is an abundant number, since it is smaller than the sum of its proper divisors (238438752).

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

100332720 is a wasteful number, since it uses less digits than its factorization.

100332720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 100332720 is about 10016.6221851480. The cubic root of 100332720 is about 464.6730966310.

Adding to 100332720 its reverse (27233001), we get a palindrome (127565721).

The spelling of 100332720 in words is "one hundred million, three hundred thirty-two thousand, seven hundred twenty".