102083793 has 16 divisors (see below), whose sum is σ = 164707200. Its totient is φ = 54902016.

The previous prime is 102083791. The next prime is 102083797. The reversal of 102083793 is 397380201.

It is not a de Polignac number, because 102083793 - 2¹ = 102083791 is a prime.

It is a super-2 number, since 2×102083793² = 20842201586533698, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102083791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142618 + ... + 143331.

It is an arithmetic number, because the mean of its divisors is an integer number (10294200).

Almost surely, 2^102083793 is an apocalyptic number.

It is an amenable number.

102083793 is a deficient number, since it is larger than the sum of its proper divisors (62623407).

102083793 is a wasteful number, since it uses less digits than its factorization.

102083793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285976.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 102083793 is about 10103.6524583934. The cubic root of 102083793 is about 467.3607817512.

The spelling of 102083793 in words is "one hundred two million, eighty-three thousand, seven hundred ninety-three".