103293753920 has 56 divisors (see below), whose sum is σ = 281106579264. Its totient is φ = 35415000576.

The previous prime is 103293753911. The next prime is 103293754001. The reversal of 103293753920 is 29357392301.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×103293753920³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23054402 + ... + 23058881.

It is an arithmetic number, because the mean of its divisors is an integer number (5019760344).

Almost surely, 2^103293753920 is an apocalyptic number.

103293753920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103293753920 is an abundant number, since it is smaller than the sum of its proper divisors (177812825344).

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

103293753920 is an equidigital number, since it uses as much as digits as its factorization.

103293753920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46113307 (or 46113297 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 44.

The spelling of 103293753920 in words is "one hundred three billion, two hundred ninety-three million, seven hundred fifty-three thousand, nine hundred twenty".