10084372695 has 64 divisors (see below), whose sum is σ = 18549780480. Its totient is φ = 5192553600.

The previous prime is 10084372663. The next prime is 10084372709. The reversal of 10084372695 is 59627348001.

10084372695 is a `hidden beast` number, since 100 + 8 + 437 + 26 + 95 = 666.

It is not a de Polignac number, because 10084372695 - 2⁵ = 10084372663 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10084372695.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1926672 + ... + 1931898.

It is an arithmetic number, because the mean of its divisors is an integer number (289840320).

It is a 2-persistent number, because it is pandigital, and so is 2⋅10084372695 = 20168745390, but 3⋅10084372695 = 30253118085 is not.

Almost surely, 2^10084372695 is an apocalyptic number.

10084372695 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10084372695 is a deficient number, since it is larger than the sum of its proper divisors (8465407785).

10084372695 is a wasteful number, since it uses less digits than its factorization.

10084372695 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5733 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10084372695 in words is "ten billion, eighty-four million, three hundred seventy-two thousand, six hundred ninety-five".