103095870768 has 200 divisors, whose sum is σ = 327863807040. Its totient is φ = 31015820160.

The previous prime is 103095870751. The next prime is 103095870799. The reversal of 103095870768 is 867078590301.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1955571 + ... + 2007597.

Almost surely, 2^103095870768 is an apocalyptic number.

103095870768 is a gapful number since it is divisible by the number (18) 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 103095870768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163931903520).

103095870768 is an abundant number, since it is smaller than the sum of its proper divisors (224767936272).

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

103095870768 is a wasteful number, since it uses less digits than its factorization.

103095870768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52197 (or 52182 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 103095870768 in words is "one hundred three billion, ninety-five million, eight hundred seventy thousand, seven hundred sixty-eight".