116216100 has 576 divisors, whose sum is σ = 513300480. Its totient is φ = 21772800.

The previous prime is 116216071. The next prime is 116216129. The reversal of 116216100 is 1612611.

It is an interprime number because it is at equal distance from previous prime (116216071) and next prime (116216129).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 2702679 + ... + 2702721.

Almost surely, 2^116216100 is an apocalyptic number.

116216100 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 116216100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256650240).

116216100 is an abundant number, since it is smaller than the sum of its proper divisors (397084380).

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

116216100 is a wasteful number, since it uses less digits than its factorization.

116216100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 116216100 is about 10780.3571369412. The cubic root of 116216100 is about 488.0025586626.

Adding to 116216100 its reverse (1612611), we get a palindrome (117828711).

The spelling of 116216100 in words is "one hundred sixteen million, two hundred sixteen thousand, one hundred".