104956191160320 has 96 divisors (see below), whose sum is σ = 335777814786960. Its totient is φ = 27988317634560.

The previous prime is 104956191160309. The next prime is 104956191160321. The reversal of 104956191160320 is 23061191659401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×104956191160320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 104956191160320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104956191160321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1708240621 + ... + 1708302060.

Almost surely, 2^{104956191160320} is an apocalyptic number.

104956191160320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104956191160320 is an abundant number, since it is smaller than the sum of its proper divisors (230821623626640).

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

104956191160320 is an equidigital number, since it uses as much as digits as its factorization.

104956191160320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416542711 (or 3416542691 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The spelling of 104956191160320 in words is "one hundred four trillion, nine hundred fifty-six billion, one hundred ninety-one million, one hundred sixty thousand, three hundred twenty".