117075400 has 96 divisors (see below), whose sum is σ = 301308840. Its totient is φ = 42024960.

The previous prime is 117075383. The next prime is 117075457. The reversal of 117075400 is 4570711.

It can be written as a sum of positive squares in 12 ways, for example, as 4588164 + 112487236 = 2142^2 + 10606^2 .

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

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, 95592 + ... + 96808.

Almost surely, 2^117075400 is an apocalyptic number.

117075400 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 117075400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150654420).

117075400 is an abundant number, since it is smaller than the sum of its proper divisors (184233440).

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

117075400 is a wasteful number, since it uses less digits than its factorization.

117075400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 117075400 is about 10820.1386312746. The cubic root of 117075400 is about 489.2023674406.

The spelling of 117075400 in words is "one hundred seventeen million, seventy-five thousand, four hundred".