103842817680 has 320 divisors, whose sum is σ = 400073679360. Its totient is φ = 21735309312.

The previous prime is 103842817679. The next prime is 103842817681. The reversal of 103842817680 is 86718248301.

It is an interprime number because it is at equal distance from previous prime (103842817679) and next prime (103842817681).

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 (103842817681) 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, 1007586 + ... + 1105854.

It is an arithmetic number, because the mean of its divisors is an integer number (1250230248).

Almost surely, 2^103842817680 is an apocalyptic number.

103842817680 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 103842817680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200036839680).

103842817680 is an abundant number, since it is smaller than the sum of its proper divisors (296230861680).

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

103842817680 is a wasteful number, since it uses less digits than its factorization.

103842817680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98346 (or 98340 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 103842817680 in words is "one hundred three billion, eight hundred forty-two million, eight hundred seventeen thousand, six hundred eighty".