103799377693536 has 768 divisors, whose sum is σ = 328828502016000. Its totient is φ = 28046870691840.

The previous prime is 103799377693493. The next prime is 103799377693553. The reversal of 103799377693536 is 635396773997301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113940040921 + ... + 113940041831.

It is an arithmetic number, because the mean of its divisors is an integer number (428162112000).

Almost surely, 2^{103799377693536} is an apocalyptic number.

103799377693536 is a gapful number since it is divisible by the number (16) 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 103799377693536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164414251008000).

103799377693536 is an abundant number, since it is smaller than the sum of its proper divisors (225029124322464).

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

103799377693536 is a wasteful number, since it uses less digits than its factorization.

103799377693536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 3645685260, while the sum is 78.

The spelling of 103799377693536 in words is "one hundred three trillion, seven hundred ninety-nine billion, three hundred seventy-seven million, six hundred ninety-three thousand, five hundred thirty-six".