105160363213651 has 16 divisors (see below), whose sum is σ = 106238232064000. Its totient is φ = 104086545544800.

The previous prime is 105160363213579. The next prime is 105160363213681. The reversal of 105160363213651 is 156312363061501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105160363213651 - 2⁷ = 105160363213523 is a prime.

It is a super-2 number, since 2×105160363213651² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105160363213598 and 105160363213607.

It is not an unprimeable number, because it can be changed into a prime (105160363213681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180385405 + ... + 180967441.

It is an arithmetic number, because the mean of its divisors is an integer number (6639889504000).

Almost surely, 2^{105160363213651} is an apocalyptic number.

105160363213651 is a deficient number, since it is larger than the sum of its proper divisors (1077868850349).

105160363213651 is a wasteful number, since it uses less digits than its factorization.

105160363213651 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585514.

The product of its (nonzero) digits is 291600, while the sum is 43.

The spelling of 105160363213651 in words is "one hundred five trillion, one hundred sixty billion, three hundred sixty-three million, two hundred thirteen thousand, six hundred fifty-one".