116766100 has 72 divisors (see below), whose sum is σ = 279419616. Its totient is φ = 42000000.

The previous prime is 116766019. The next prime is 116766107. The reversal of 116766100 is 1667611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116766107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110575 + ... + 111625.

It is an arithmetic number, because the mean of its divisors is an integer number (3880828).

Almost surely, 2^116766100 is an apocalyptic number.

116766100 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 116766100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139709808).

116766100 is an abundant number, since it is smaller than the sum of its proper divisors (162653516).

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

116766100 is a wasteful number, since it uses less digits than its factorization.

116766100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 116766100 is about 10805.8363859537. The cubic root of 116766100 is about 488.7711816794.

The spelling of 116766100 in words is "one hundred sixteen million, seven hundred sixty-six thousand, one hundred".