102817053 has 32 divisors (see below), whose sum is σ = 157449600. Its totient is φ = 66268800.

The previous prime is 102817051. The next prime is 102817067. The reversal of 102817053 is 350718201.

It is not a de Polignac number, because 102817053 - 2¹ = 102817051 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102817051) 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 31 ways as a sum of consecutive naturals, for example, 144663 + ... + 145371.

It is an arithmetic number, because the mean of its divisors is an integer number (4920300).

Almost surely, 2^102817053 is an apocalyptic number.

It is an amenable number.

102817053 is a deficient number, since it is larger than the sum of its proper divisors (54632547).

102817053 is a wasteful number, since it uses less digits than its factorization.

102817053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 102817053 is about 10139.8744075062. The cubic root of 102817053 is about 468.4771186138.

It can be divided in two parts, 1028 and 17053, that added together give a palindrome (18081).

The spelling of 102817053 in words is "one hundred two million, eight hundred seventeen thousand, fifty-three".