103248917520 has 80 divisors (see below), whose sum is σ = 365796170880. Its totient is φ = 23599752192.

The previous prime is 103248917503. The next prime is 103248917537. The reversal of 103248917520 is 25719842301.

It is an interprime number because it is at equal distance from previous prime (103248917503) and next prime (103248917537).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30727165 + ... + 30730524.

It is an arithmetic number, because the mean of its divisors is an integer number (4572452136).

Almost surely, 2^103248917520 is an apocalyptic number.

103248917520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103248917520 is an abundant number, since it is smaller than the sum of its proper divisors (262547253360).

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

103248917520 is a wasteful number, since it uses less digits than its factorization.

103248917520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61457712 (or 61457706 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 103248917520 in words is "one hundred three billion, two hundred forty-eight million, nine hundred seventeen thousand, five hundred twenty".