103442240880 has 960 divisors, whose sum is σ = 410699427840. Its totient is φ = 23091609600.

The previous prime is 103442240879. The next prime is 103442240929. The reversal of 103442240880 is 88042244301.

103442240880 is a `hidden beast` number, since 10 + 344 + 224 + 0 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 535970064 + ... + 535970256.

It is an arithmetic number, because the mean of its divisors is an integer number (427811904).

Almost surely, 2^103442240880 is an apocalyptic number.

103442240880 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 103442240880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205349713920).

103442240880 is an abundant number, since it is smaller than the sum of its proper divisors (307257186960).

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

103442240880 is a wasteful number, since it uses less digits than its factorization.

103442240880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 103442240880 in words is "one hundred three billion, four hundred forty-two million, two hundred forty thousand, eight hundred eighty".