103001983680960 has 4480 divisors, whose sum is σ = 491712528384000. Its totient is φ = 19863219437568.

The previous prime is 103001983680943. The next prime is 103001983680977. The reversal of 103001983680960 is 69086389100301.

103001983680960 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 0 + 198 + 368 + 0 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103001983680943) and next prime (103001983680977).

It is a super-3 number, since 3×103001983680960³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 103001983680897 and 103001983680906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 166400619531 + ... + 166400620149.

It is an arithmetic number, because the mean of its divisors is an integer number (109757260800).

Almost surely, 2^{103001983680960} is an apocalyptic number.

103001983680960 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 103001983680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245856264192000).

103001983680960 is an abundant number, since it is smaller than the sum of its proper divisors (388710544703040).

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

103001983680960 is a wasteful number, since it uses less digits than its factorization.

103001983680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 103001983680960 in words is "one hundred three trillion, one billion, nine hundred eighty-three million, six hundred eighty thousand, nine hundred sixty".