102825377088 has 224 divisors, whose sum is σ = 337849098240. Its totient is φ = 26934405120.

The previous prime is 102825377063. The next prime is 102825377101. The reversal of 102825377088 is 880773528201.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 102825377088.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 726670 + ... + 856562.

Almost surely, 2^102825377088 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 102825377088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168924549120).

102825377088 is an abundant number, since it is smaller than the sum of its proper divisors (235023721152).

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

102825377088 is a wasteful number, since it uses less digits than its factorization.

102825377088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129965 (or 129955 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 102825377088 in words is "one hundred two billion, eight hundred twenty-five million, three hundred seventy-seven thousand, eighty-eight".