103842560 has 72 divisors (see below), whose sum is σ = 256857216. Its totient is φ = 40181760.

The previous prime is 103842547. The next prime is 103842601. The reversal of 103842560 is 65248301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38372 + ... + 40988.

Almost surely, 2^103842560 is an apocalyptic number.

103842560 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 103842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128428608).

103842560 is an abundant number, since it is smaller than the sum of its proper divisors (153014656).

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

103842560 is an equidigital number, since it uses as much as digits as its factorization.

103842560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 103842560 is about 10190.3169724989. The cubic root of 103842560 is about 470.0295137646.

The spelling of 103842560 in words is "one hundred three million, eight hundred forty-two thousand, five hundred sixty".