102105113253 has 64 divisors (see below), whose sum is σ = 161726638080. Its totient is φ = 56487456000.

The previous prime is 102105113219. The next prime is 102105113281. The reversal of 102105113253 is 352311501201.

It is not a de Polignac number, because 102105113253 - 2¹⁸ = 102104851109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102105118253) 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 63 ways as a sum of consecutive naturals, for example, 14830950 + ... + 14837832.

It is an arithmetic number, because the mean of its divisors is an integer number (2526978720).

Almost surely, 2^102105113253 is an apocalyptic number.

102105113253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102105113253 is a deficient number, since it is larger than the sum of its proper divisors (59621524827).

102105113253 is a wasteful number, since it uses less digits than its factorization.

102105113253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7290.

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 102105113253 its reverse (352311501201), we get a palindrome (454416614454).

The spelling of 102105113253 in words is "one hundred two billion, one hundred five million, one hundred thirteen thousand, two hundred fifty-three".