105917046379790 has 64 divisors (see below), whose sum is σ = 200816714592000. Its totient is φ = 40110638158080.

The previous prime is 105917046379769. The next prime is 105917046379873. The reversal of 105917046379790 is 97973640719501.

It is a happy number.

It is a super-2 number, since 2×105917046379790² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105917046379790.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1864412906 + ... + 1864469714.

It is an arithmetic number, because the mean of its divisors is an integer number (3137761165500).

Almost surely, 2^{105917046379790} is an apocalyptic number.

105917046379790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105917046379790 is a deficient number, since it is larger than the sum of its proper divisors (94899668212210).

105917046379790 is a wasteful number, since it uses less digits than its factorization.

105917046379790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63105.

The product of its (nonzero) digits is 90016920, while the sum is 68.

The spelling of 105917046379790 in words is "one hundred five trillion, nine hundred seventeen billion, forty-six million, three hundred seventy-nine thousand, seven hundred ninety".