117505600 has 63 divisors (see below), whose sum is σ = 290208081. Its totient is φ = 46828800.

The previous prime is 117505573. The next prime is 117505601. The reversal of 117505600 is 6505711.

The square root of 117505600 is 10840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 42302016 + 75203584 = 6504^2 + 8672^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117505601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 433465 + ... + 433735.

Almost surely, 2^117505600 is an apocalyptic number.

117505600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

117505600 is the 10840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117505600

117505600 is an abundant number, since it is smaller than the sum of its proper divisors (172702481).

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

117505600 is an frugal number, since it uses more digits than its factorization.

117505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 25.

The cubic root of 117505600 is about 489.8008353437.

Multiplying 117505600 by its sum of digits (25), we get a square (2937640000 = 54200²).

117505600 divided by its sum of digits (25) gives a square (4700224 = 2168²).

The spelling of 117505600 in words is "one hundred seventeen million, five hundred five thousand, six hundred".