10007263146105 has 96 divisors (see below), whose sum is σ = 18089394336000. Its totient is φ = 5114717583360.

The previous prime is 10007263146079. The next prime is 10007263146113. The reversal of 10007263146105 is 50164136270001.

10007263146105 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 7 + 2 + 6 + 31 + 4 + 610 + 5 = 666.

It is not a de Polignac number, because 10007263146105 - 2²⁰ = 10007262097529 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10007263146105.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16478701 + ... + 17075189.

It is an arithmetic number, because the mean of its divisors is an integer number (188431191000).

Almost surely, 2^{10007263146105} is an apocalyptic number.

10007263146105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10007263146105 is a deficient number, since it is larger than the sum of its proper divisors (8082131189895).

10007263146105 is a wasteful number, since it uses less digits than its factorization.

10007263146105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596719 (or 596716 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10007263146105 in words is "ten trillion, seven billion, two hundred sixty-three million, one hundred forty-six thousand, one hundred five".