103659853440 has 1024 divisors, whose sum is σ = 422450380800. Its totient is φ = 21233664000.

The previous prime is 103659853403. The next prime is 103659853447. The reversal of 103659853440 is 44358956301.

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

It is a self number, because there is not a number n which added to its sum of digits gives 103659853440.

It is not an unprimeable number, because it can be changed into a prime (103659853447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 161715520 + ... + 161716160.

It is an arithmetic number, because the mean of its divisors is an integer number (412549200).

Almost surely, 2^103659853440 is an apocalyptic number.

103659853440 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 103659853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211225190400).

103659853440 is an abundant number, since it is smaller than the sum of its proper divisors (318790527360).

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

103659853440 is a wasteful number, since it uses less digits than its factorization.

103659853440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 103659853440 in words is "one hundred three billion, six hundred fifty-nine million, eight hundred fifty-three thousand, four hundred forty".