103845614880 has 384 divisors, whose sum is σ = 384824659968. Its totient is φ = 23041953792.

The previous prime is 103845614879. The next prime is 103845614881. The reversal of 103845614880 is 88416548301.

It is an interprime number because it is at equal distance from previous prime (103845614879) and next prime (103845614881).

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

It is not an unprimeable number, because it can be changed into a prime (103845614881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84909949 + ... + 84911171.

It is an arithmetic number, because the mean of its divisors is an integer number (1002147552).

Almost surely, 2^103845614880 is an apocalyptic number.

103845614880 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 103845614880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192412329984).

103845614880 is an abundant number, since it is smaller than the sum of its proper divisors (280979045088).

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

103845614880 is a wasteful number, since it uses less digits than its factorization.

103845614880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 103845614880 in words is "one hundred three billion, eight hundred forty-five million, six hundred fourteen thousand, eight hundred eighty".