10100556161505 has 48 divisors (see below), whose sum is σ = 17989456524624. Its totient is φ = 5238849208320.

The previous prime is 10100556161483. The next prime is 10100556161539. The reversal of 10100556161505 is 50516165500101.

It is a happy number.

10100556161505 is a `hidden beast` number, since 10 + 10 + 0 + 5 + 5 + 616 + 15 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 288275569569 + 9812280591936 = 536913^2 + 3132456^2 .

It is not a de Polignac number, because 10100556161505 - 2⁸ = 10100556161249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100556161505.

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 47 ways as a sum of consecutive naturals, for example, 2007297 + ... + 4922433.

It is an arithmetic number, because the mean of its divisors is an integer number (374780344263).

Almost surely, 2^{10100556161505} is an apocalyptic number.

10100556161505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10100556161505 is a deficient number, since it is larger than the sum of its proper divisors (7888900363119).

10100556161505 is a wasteful number, since it uses less digits than its factorization.

10100556161505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917266 (or 2917263 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 10100556161505 in words is "ten trillion, one hundred billion, five hundred fifty-six million, one hundred sixty-one thousand, five hundred five".