103391544960 has 1024 divisors, whose sum is σ = 418719628800. Its totient is φ = 23887872000.

The previous prime is 103391544917. The next prime is 103391545003. The reversal of 103391544960 is 69445193301.

103391544960 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 9 + 154 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103391544917) and next prime (103391545003).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 429010440 + ... + 429010680.

Almost surely, 2^103391544960 is an apocalyptic number.

103391544960 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 103391544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209359814400).

103391544960 is an abundant number, since it is smaller than the sum of its proper divisors (315328083840).

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

103391544960 is a wasteful number, since it uses less digits than its factorization.

103391544960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 103391544960 in words is "one hundred three billion, three hundred ninety-one million, five hundred forty-four thousand, nine hundred sixty".