68416091100 has 432 divisors, whose sum is σ = 267548153600. Its totient is φ = 14814213120.

The previous prime is 68416091087. The next prime is 68416091123. The reversal of 68416091100 is 119061486.

It is a happy number.

68416091100 is a `hidden beast` number, since 6 + 8 + 41 + 609 + 1 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3221316 + ... + 3242484.

Almost surely, 2^68416091100 is an apocalyptic number.

68416091100 is a gapful number since it is divisible by the number (60) 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 68416091100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133774076800).

68416091100 is an abundant number, since it is smaller than the sum of its proper divisors (199132062500).

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

68416091100 is a wasteful number, since it uses less digits than its factorization.

68416091100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21224 (or 21205 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 68416091100 in words is "sixty-eight billion, four hundred sixteen million, ninety-one thousand, one hundred".