117021600 has 108 divisors (see below), whose sum is σ = 412672806. Its totient is φ = 31203840.

The previous prime is 117021599. The next prime is 117021613. The reversal of 117021600 is 6120711.

It can be written as a sum of positive squares in 3 ways, for example, as 96118416 + 20903184 = 9804^2 + 4572^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 927 + ... + 15326.

Almost surely, 2^117021600 is an apocalyptic number.

117021600 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 117021600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206336403).

117021600 is an abundant number, since it is smaller than the sum of its proper divisors (295651206).

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

117021600 is a wasteful number, since it uses less digits than its factorization.

117021600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16279 (or 16263 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 117021600 is about 10817.6522406666. The cubic root of 117021600 is about 489.1274210958.

The spelling of 117021600 in words is "one hundred seventeen million, twenty-one thousand, six hundred".