100733380 has 48 divisors (see below), whose sum is σ = 234057600. Its totient is φ = 36108800.

The previous prime is 100733363. The next prime is 100733393. The reversal of 100733380 is 83337001.

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, 12396 + ... + 18844.

It is an arithmetic number, because the mean of its divisors is an integer number (4876200).

Almost surely, 2^100733380 is an apocalyptic number.

100733380 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 100733380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117028800).

100733380 is an abundant number, since it is smaller than the sum of its proper divisors (133324220).

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

100733380 is a wasteful number, since it uses less digits than its factorization.

100733380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6540 (or 6538 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 100733380 is about 10036.6020146263. The cubic root of 100733380 is about 465.2908035686.

The spelling of 100733380 in words is "one hundred million, seven hundred thirty-three thousand, three hundred eighty".