116805132 has 96 divisors (see below), whose sum is σ = 321753600. Its totient is φ = 36565056.

The previous prime is 116805119. The next prime is 116805167. The reversal of 116805132 is 231508611.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 116805096 and 116805105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146158 + ... + 146954.

It is an arithmetic number, because the mean of its divisors is an integer number (3351600).

Almost surely, 2^116805132 is an apocalyptic number.

116805132 is a gapful number since it is divisible by the number (12) 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 116805132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160876800).

116805132 is an abundant number, since it is smaller than the sum of its proper divisors (204948468).

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

116805132 is a wasteful number, since it uses less digits than its factorization.

116805132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 116805132 is about 10807.6422960792. The cubic root of 116805132 is about 488.8256369577.

The spelling of 116805132 in words is "one hundred sixteen million, eight hundred five thousand, one hundred thirty-two".