102583058011 has 16 divisors (see below), whose sum is σ = 122419897344. Its totient is φ = 84047049504.

The previous prime is 102583057991. The next prime is 102583058021. The reversal of 102583058011 is 110850385201.

It is a cyclic number.

It is not a de Polignac number, because 102583058011 - 2¹⁷ = 102582926939 is a prime.

It is a super-2 number, since 2×102583058011² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102583058021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12801 + ... + 453133.

It is an arithmetic number, because the mean of its divisors is an integer number (7651243584).

Almost surely, 2^102583058011 is an apocalyptic number.

102583058011 is a deficient number, since it is larger than the sum of its proper divisors (19836839333).

102583058011 is a wasteful number, since it uses less digits than its factorization.

102583058011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441810.

The product of its (nonzero) digits is 9600, while the sum is 34.

The spelling of 102583058011 in words is "one hundred two billion, five hundred eighty-three million, fifty-eight thousand, eleven".