10084164363 has 128 divisors (see below), whose sum is σ = 19632291840. Its totient is φ = 4964198400.

The previous prime is 10084164353. The next prime is 10084164373. The reversal of 10084164363 is 36346148001.

It is a happy number.

10084164363 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 4 + 1 + 643 + 6 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (10084164353) and next prime (10084164373).

It is not a de Polignac number, because 10084164363 - 2⁵ = 10084164331 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10084164353) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5303713 + ... + 5305613.

It is an arithmetic number, because the mean of its divisors is an integer number (153377280).

Almost surely, 2^10084164363 is an apocalyptic number.

10084164363 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10084164363 is a deficient number, since it is larger than the sum of its proper divisors (9548127477).

10084164363 is a wasteful number, since it uses less digits than its factorization.

10084164363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10084164363 in words is "ten billion, eighty-four million, one hundred sixty-four thousand, three hundred sixty-three".