103401916992 has 336 divisors, whose sum is σ = 334032221952. Its totient is φ = 30310640640.

The previous prime is 103401916987. The next prime is 103401916993. The reversal of 103401916992 is 299619104301.

103401916992 is a `hidden beast` number, since 10 + 3 + 401 + 91 + 69 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (103401916993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29150163 + ... + 29153709.

Almost surely, 2^103401916992 is an apocalyptic number.

103401916992 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 103401916992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167016110976).

103401916992 is an abundant number, since it is smaller than the sum of its proper divisors (230630304960).

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

103401916992 is a wasteful number, since it uses less digits than its factorization.

103401916992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3726 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 103401916992 in words is "one hundred three billion, four hundred one million, nine hundred sixteen thousand, nine hundred ninety-two".