102606262203105 has 24 divisors (see below), whose sum is σ = 178298841555432. Its totient is φ = 54585497666304.

The previous prime is 102606262203073. The next prime is 102606262203209. The reversal of 102606262203105 is 501302262606201.

102606262203105 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 0 + 626 + 2 + 20 + 3 + 1 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32766545778849 + 69839716424256 = 5724207^2 + 8357016^2 .

It is not a de Polignac number, because 102606262203105 - 2⁵ = 102606262203073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102606262203105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2871693924 + ... + 2871729653.

It is an arithmetic number, because the mean of its divisors is an integer number (7429118398143).

Almost surely, 2^{102606262203105} is an apocalyptic number.

102606262203105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102606262203105 is a deficient number, since it is larger than the sum of its proper divisors (75692579352327).

102606262203105 is a wasteful number, since it uses less digits than its factorization.

102606262203105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5743423985 (or 5743423982 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 102606262203105 in words is "one hundred two trillion, six hundred six billion, two hundred sixty-two million, two hundred three thousand, one hundred five".