103511648625 has 192 divisors, whose sum is σ = 224503508736. Its totient is φ = 41852160000.

The previous prime is 103511648621. The next prime is 103511648627. The reversal of 103511648625 is 526846115301.

It is not a de Polignac number, because 103511648625 - 2² = 103511648621 is a prime.

It is a super-2 number, since 2×103511648625² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103511648621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7471705 + ... + 7485545.

It is an arithmetic number, because the mean of its divisors is an integer number (1169289108).

Almost surely, 2^103511648625 is an apocalyptic number.

103511648625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103511648625 is an abundant number, since it is smaller than the sum of its proper divisors (120991860111).

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

103511648625 is a wasteful number, since it uses less digits than its factorization.

103511648625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13921 (or 13904 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 103511648625 in words is "one hundred three billion, five hundred eleven million, six hundred forty-eight thousand, six hundred twenty-five".