102721859253 has 48 divisors (see below), whose sum is σ = 174646757376. Its totient is φ = 57575784960.

The previous prime is 102721859203. The next prime is 102721859257. The reversal of 102721859253 is 352958127201.

102721859253 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 2 + 1 + 8 + 592 + 53 = 666.

It is not a de Polignac number, because 102721859253 - 2⁶ = 102721859189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102721859199 and 102721859208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102721859257) 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 47 ways as a sum of consecutive naturals, for example, 771325 + ... + 894642.

It is an arithmetic number, because the mean of its divisors is an integer number (3638474112).

Almost surely, 2^102721859253 is an apocalyptic number.

102721859253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102721859253 is a deficient number, since it is larger than the sum of its proper divisors (71924898123).

102721859253 is a wasteful number, since it uses less digits than its factorization.

102721859253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666034 (or 1666031 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 102721859253 in words is "one hundred two billion, seven hundred twenty-one million, eight hundred fifty-nine thousand, two hundred fifty-three".