116417156100 has 144 divisors (see below), whose sum is σ = 386948650368. Its totient is φ = 26471669760.

The previous prime is 116417156081. The next prime is 116417156113. The reversal of 116417156100 is 1651714611.

It is a happy number.

116417156100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×116417156100³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261682 + ... + 548918.

Almost surely, 2^116417156100 is an apocalyptic number.

116417156100 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 116417156100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193474325184).

116417156100 is an abundant number, since it is smaller than the sum of its proper divisors (270531494268).

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

116417156100 is a wasteful number, since it uses less digits than its factorization.

116417156100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287454 (or 287447 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The spelling of 116417156100 in words is "one hundred sixteen billion, four hundred seventeen million, one hundred fifty-six thousand, one hundred".