103016396160 has 320 divisors, whose sum is σ = 369956386800. Its totient is φ = 27316776960.

The previous prime is 103016396159. The next prime is 103016396177. The reversal of 103016396160 is 61693610301.

103016396160 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 1 + 6 + 39 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×103016396160² (a number of 23 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 9377551 + ... + 9388529.

Almost surely, 2^103016396160 is an apocalyptic number.

103016396160 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 103016396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184978193400).

103016396160 is an abundant number, since it is smaller than the sum of its proper divisors (266939990640).

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

103016396160 is a wasteful number, since it uses less digits than its factorization.

103016396160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11191 (or 11170 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 103016396160 in words is "one hundred three billion, sixteen million, three hundred ninety-six thousand, one hundred sixty".