105663465495 has 192 divisors, whose sum is σ = 224733398400. Its totient is φ = 46938286080.

The previous prime is 105663465463. The next prime is 105663465547. The reversal of 105663465495 is 594564366501.

105663465495 is a `hidden beast` number, since 1 + 0 + 5 + 66 + 34 + 6 + 549 + 5 = 666.

It is not a de Polignac number, because 105663465495 - 2⁵ = 105663465463 is a prime.

It is a super-2 number, since 2×105663465495² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 85974541 + ... + 85975769.

It is an arithmetic number, because the mean of its divisors is an integer number (1170486450).

Almost surely, 2^105663465495 is an apocalyptic number.

105663465495 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105663465495 is an abundant number, since it is smaller than the sum of its proper divisors (119069932905).

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

105663465495 is a wasteful number, since it uses less digits than its factorization.

105663465495 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 105663465495 in words is "one hundred five billion, six hundred sixty-three million, four hundred sixty-five thousand, four hundred ninety-five".