102025569088 has 112 divisors (see below), whose sum is σ = 222023909520. Its totient is φ = 46300921856.

The previous prime is 102025569043. The next prime is 102025569089. The reversal of 102025569088 is 880965520201.

It can be written as a sum of positive squares in 8 ways, for example, as 2376757504 + 99648811584 = 48752^2 + 315672^2 .

It is a super-2 number, since 2×102025569088² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102025569089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38397456 + ... + 38400112.

It is an arithmetic number, because the mean of its divisors is an integer number (1982356335).

Almost surely, 2^102025569088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102025569088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111011954760).

102025569088 is an abundant number, since it is smaller than the sum of its proper divisors (119998340432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102025569088 is a wasteful number, since it uses less digits than its factorization.

102025569088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 46.

The spelling of 102025569088 in words is "one hundred two billion, twenty-five million, five hundred sixty-nine thousand, eighty-eight".