103125010560 has 512 divisors, whose sum is σ = 395640080640. Its totient is φ = 22511616000.

The previous prime is 103125010559. The next prime is 103125010579. The reversal of 103125010560 is 65010521301.

It is a super-2 number, since 2×103125010560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103125010560.

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, 11252380 + ... + 11261540.

Almost surely, 2^103125010560 is an apocalyptic number.

103125010560 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 103125010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197820040320).

103125010560 is an abundant number, since it is smaller than the sum of its proper divisors (292515070080).

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

103125010560 is a wasteful number, since it uses less digits than its factorization.

103125010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9248 (or 9236 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 103125010560 its reverse (65010521301), we get a palindrome (168135531861).

The spelling of 103125010560 in words is "one hundred three billion, one hundred twenty-five million, ten thousand, five hundred sixty".