105164136665652 has 24 divisors (see below), whose sum is σ = 245383556987296. Its totient is φ = 35054630588448.

The previous prime is 105164136665641. The next prime is 105164136665719. The reversal of 105164136665652 is 256566631461501.

It is a super-2 number, since 2×105164136665652² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105164136665592 and 105164136665601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4718518 + ... + 15250989.

Almost surely, 2^{105164136665652} is an apocalyptic number.

105164136665652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105164136665652 is an abundant number, since it is smaller than the sum of its proper divisors (140219420321644).

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

105164136665652 is a wasteful number, since it uses less digits than its factorization.

105164136665652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20408367 (or 20408365 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 57.

The spelling of 105164136665652 in words is "one hundred five trillion, one hundred sixty-four billion, one hundred thirty-six million, six hundred sixty-five thousand, six hundred fifty-two".