103830763680 has 240 divisors, whose sum is σ = 418784446080. Its totient is φ = 23732725248.

The previous prime is 103830763637. The next prime is 103830763681. The reversal of 103830763680 is 86367038301.

103830763680 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 3 + 0 + 7 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (103830763681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 481540 + ... + 662979.

It is an arithmetic number, because the mean of its divisors is an integer number (1744935192).

Almost surely, 2^103830763680 is an apocalyptic number.

103830763680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103830763680 is an abundant number, since it is smaller than the sum of its proper divisors (314953682400).

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

103830763680 is a wasteful number, since it uses less digits than its factorization.

103830763680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144553 (or 1144536 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 103830763680 in words is "one hundred three billion, eight hundred thirty million, seven hundred sixty-three thousand, six hundred eighty".