103415520544 has 96 divisors (see below), whose sum is σ = 238368614400. Its totient is φ = 43250727168.

The previous prime is 103415520497. The next prime is 103415520569. The reversal of 103415520544 is 445025514301.

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, 1573657 + ... + 1638055.

It is an arithmetic number, because the mean of its divisors is an integer number (2483006400).

Almost surely, 2^103415520544 is an apocalyptic number.

103415520544 is a gapful number since it is divisible by the number (14) 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 103415520544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119184307200).

103415520544 is an abundant number, since it is smaller than the sum of its proper divisors (134953093856).

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

103415520544 is a wasteful number, since it uses less digits than its factorization.

103415520544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64590 (or 64582 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 103415520544 in words is "one hundred three billion, four hundred fifteen million, five hundred twenty thousand, five hundred forty-four".