103111157760 has 768 divisors, whose sum is σ = 380414361600. Its totient is φ = 23633068032.

The previous prime is 103111157759. The next prime is 103111157783. The reversal of 103111157760 is 67751111301.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 811898817 + ... + 811898943.

It is an arithmetic number, because the mean of its divisors is an integer number (495331200).

Almost surely, 2^103111157760 is an apocalyptic number.

103111157760 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 103111157760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190207180800).

103111157760 is an abundant number, since it is smaller than the sum of its proper divisors (277303203840).

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

103111157760 is a wasteful number, since it uses less digits than its factorization.

103111157760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 33.

The spelling of 103111157760 in words is "one hundred three billion, one hundred eleven million, one hundred fifty-seven thousand, seven hundred sixty".