103258560 has 112 divisors (see below), whose sum is σ = 339242400. Its totient is φ = 26578944.

The previous prime is 103258517. The next prime is 103258579. The reversal of 103258560 is 65852301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25986 + ... + 29694.

It is an arithmetic number, because the mean of its divisors is an integer number (3028950).

Almost surely, 2^103258560 is an apocalyptic number.

103258560 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 103258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169621200).

103258560 is an abundant number, since it is smaller than the sum of its proper divisors (235983840).

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

103258560 is a wasteful number, since it uses less digits than its factorization.

103258560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 103258560 is about 10161.6219177846. The cubic root of 103258560 is about 469.1467240511.

The spelling of 103258560 in words is "one hundred three million, two hundred fifty-eight thousand, five hundred sixty".