116981600 has 144 divisors (see below), whose sum is σ = 303730560. Its totient is φ = 43929600.

The previous prime is 116981597. The next prime is 116981603. The reversal of 116981600 is 6189611.

116981600 = T₈₉ + T₉₀ + ... + T₈₈₈.

It is an interprime number because it is at equal distance from previous prime (116981597) and next prime (116981603).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116981603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1314356 + ... + 1314444.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 2^116981600 is an apocalyptic number.

116981600 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 116981600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151865280).

116981600 is an abundant number, since it is smaller than the sum of its proper divisors (186748960).

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

116981600 is a wasteful number, since it uses less digits than its factorization.

116981600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 116981600 is about 10815.8032526484. The cubic root of 116981600 is about 489.0716840168.

The spelling of 116981600 in words is "one hundred sixteen million, nine hundred eighty-one thousand, six hundred".