103590956560 has 720 divisors, whose sum is σ = 330966995328. Its totient is φ = 29415260160.

The previous prime is 103590956551. The next prime is 103590956569. The reversal of 103590956560 is 65659095301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103590956551) and next prime (103590956569).

It is a super-3 number, since 3×103590956560³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103590956569) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1546133647 + ... + 1546133713.

Almost surely, 2^103590956560 is an apocalyptic number.

103590956560 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 103590956560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165483497664).

103590956560 is an abundant number, since it is smaller than the sum of its proper divisors (227376038768).

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

103590956560 is a wasteful number, since it uses less digits than its factorization.

103590956560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1093500, while the sum is 49.

The spelling of 103590956560 in words is "one hundred three billion, five hundred ninety million, nine hundred fifty-six thousand, five hundred sixty".