117116100 has 108 divisors (see below), whose sum is σ = 377122564. Its totient is φ = 30378240.

The previous prime is 117116093. The next prime is 117116107. The reversal of 117116100 is 1611711.

It is an interprime number because it is at equal distance from previous prime (117116093) and next prime (117116107).

It can be written as a sum of positive squares in 6 ways, for example, as 15872256 + 101243844 = 3984^2 + 10062^2 .

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

It is not an unprimeable number, because it can be changed into a prime (117116107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31542 + ... + 35058.

Almost surely, 2^117116100 is an apocalyptic number.

117116100 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 117116100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188561282).

117116100 is an abundant number, since it is smaller than the sum of its proper divisors (260006464).

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

117116100 is a wasteful number, since it uses less digits than its factorization.

117116100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3574 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 18.

The square root of 117116100 is about 10822.0192200901. The cubic root of 117116100 is about 489.2590495149.

Adding to 117116100 its reverse (1611711), we get a palindrome (118727811).

It can be divided in two parts, 1171 and 16100, that added together give a palindrome (17271).

The spelling of 117116100 in words is "one hundred seventeen million, one hundred sixteen thousand, one hundred".