116106480 has 240 divisors, whose sum is σ = 465639840. Its totient is φ = 26514432.

The previous prime is 116106457. The next prime is 116106499. The reversal of 116106480 is 84601611.

116106480 is a `hidden beast` number, since 1 + 1 + 6 + 10 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105292 + ... + 106388.

It is an arithmetic number, because the mean of its divisors is an integer number (1940166).

Almost surely, 2^116106480 is an apocalyptic number.

116106480 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 116106480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232819920).

116106480 is an abundant number, since it is smaller than the sum of its proper divisors (349533360).

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

116106480 is a wasteful number, since it uses less digits than its factorization.

116106480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1114 counting only the distinct ones).

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

The square root of 116106480 is about 10775.2716903102. The cubic root of 116106480 is about 487.8490754279.

The spelling of 116106480 in words is "one hundred sixteen million, one hundred six thousand, four hundred eighty".