10084105690 has 32 divisors (see below), whose sum is σ = 18228654720. Its totient is φ = 4016510784.

The previous prime is 10084105687. The next prime is 10084105693. The reversal of 10084105690 is 9650148001.

It is an interprime number because it is at equal distance from previous prime (10084105687) and next prime (10084105693).

It is a super-3 number, since 3×10084105690³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10084105693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2709651 + ... + 2713369.

It is an arithmetic number, because the mean of its divisors is an integer number (569645460).

Almost surely, 2^10084105690 is an apocalyptic number.

10084105690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10084105690 is a deficient number, since it is larger than the sum of its proper divisors (8144549030).

10084105690 is a wasteful number, since it uses less digits than its factorization.

10084105690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4806.

The product of its (nonzero) digits is 8640, while the sum is 34.

The spelling of 10084105690 in words is "ten billion, eighty-four million, one hundred five thousand, six hundred ninety".