116468100 has 324 divisors, whose sum is σ = 450231600. Its totient is φ = 25038720.

The previous prime is 116468063. The next prime is 116468101. The reversal of 116468100 is 1864611.

116468100 is a `hidden beast` number, since 1 + 1 + 646 + 8 + 10 + 0 = 666.

It is a super-4 number, since 4×116468100⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (116468101) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 837831 + ... + 837969.

Almost surely, 2^116468100 is an apocalyptic number.

116468100 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 116468100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225115800).

116468100 is an abundant number, since it is smaller than the sum of its proper divisors (333763500).

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

116468100 is a wasteful number, since it uses less digits than its factorization.

116468100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 116468100 is about 10792.0387323249. The cubic root of 116468100 is about 488.3550280859.

The spelling of 116468100 in words is "one hundred sixteen million, four hundred sixty-eight thousand, one hundred".