103615983240 has 384 divisors, whose sum is σ = 391854516480. Its totient is φ = 21455216640.

The previous prime is 103615983221. The next prime is 103615983253. The reversal of 103615983240 is 42389516301.

It is a super-3 number, since 3×103615983240³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 103615983192 and 103615983201.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31811692 + ... + 31814948.

It is an arithmetic number, because the mean of its divisors is an integer number (1020454470).

Almost surely, 2^103615983240 is an apocalyptic number.

103615983240 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 103615983240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195927258240).

103615983240 is an abundant number, since it is smaller than the sum of its proper divisors (288238533240).

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

103615983240 is a wasteful number, since it uses less digits than its factorization.

103615983240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3613 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 103615983240 in words is "one hundred three billion, six hundred fifteen million, nine hundred eighty-three thousand, two hundred forty".