100883720 has 64 divisors (see below), whose sum is σ = 261550080. Its totient is φ = 34304256.

The previous prime is 100883707. The next prime is 100883723. The reversal of 100883720 is 27388001.

It is a super-2 number, since 2×100883720² = 20355049922076800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100883723) 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, 34142 + ... + 36978.

It is an arithmetic number, because the mean of its divisors is an integer number (4086720).

Almost surely, 2^100883720 is an apocalyptic number.

100883720 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 100883720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130775040).

100883720 is an abundant number, since it is smaller than the sum of its proper divisors (160666360).

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

100883720 is a wasteful number, since it uses less digits than its factorization.

100883720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 100883720 is about 10044.0888088467. The cubic root of 100883720 is about 465.5221636476.

The spelling of 100883720 in words is "one hundred million, eight hundred eighty-three thousand, seven hundred twenty".