103845434880 has 320 divisors, whose sum is σ = 363646153728. Its totient is φ = 25071452160.

The previous prime is 103845434879. The next prime is 103845434893. The reversal of 103845434880 is 88434548301.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×103845434880² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21708969 + ... + 21713751.

Almost surely, 2^103845434880 is an apocalyptic number.

103845434880 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 103845434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181823076864).

103845434880 is an abundant number, since it is smaller than the sum of its proper divisors (259800718848).

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

103845434880 is a wasteful number, since it uses less digits than its factorization.

103845434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5077 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 103845434880 in words is "one hundred three billion, eight hundred forty-five million, four hundred thirty-four thousand, eight hundred eighty".