105205662150016 has 64 divisors (see below), whose sum is σ = 210115996826400. Its totient is φ = 52470684241920.

The previous prime is 105205662149989. The next prime is 105205662150053. The reversal of 105205662150016 is 610051266502501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105205662150016² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 888930141 + ... + 889048483.

Almost surely, 2^{105205662150016} is an apocalyptic number.

105205662150016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105205662150016 is a deficient number, since it is larger than the sum of its proper divisors (104910334676384).

105205662150016 is a wasteful number, since it uses less digits than its factorization.

105205662150016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135747 (or 135735 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 40.

The spelling of 105205662150016 in words is "one hundred five trillion, two hundred five billion, six hundred sixty-two million, one hundred fifty thousand, sixteen".