100758830103040 has 80 divisors (see below), whose sum is σ = 241715848695552. Its totient is φ = 40281709072384.

The previous prime is 100758830102999. The next prime is 100758830103077. The reversal of 100758830103040 is 40301038857001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 100758830102984 and 100758830103002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5926504 + ... + 15383143.

Almost surely, 2^{100758830103040} is an apocalyptic number.

100758830103040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100758830103040 is an abundant number, since it is smaller than the sum of its proper divisors (140957018592512).

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

100758830103040 is an equidigital number, since it uses as much as digits as its factorization.

100758830103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21311517 (or 21311501 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 100758830103040 in words is "one hundred trillion, seven hundred fifty-eight billion, eight hundred thirty million, one hundred three thousand, forty".