102087445152 has 432 divisors, whose sum is σ = 351565564896. Its totient is φ = 25648358400.

The previous prime is 102087445123. The next prime is 102087445231. The reversal of 102087445152 is 251544780201.

It is a self number, because there is not a number n which added to its sum of digits gives 102087445152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49724958 + ... + 49727010.

It is an arithmetic number, because the mean of its divisors is an integer number (813809178).

Almost surely, 2^102087445152 is an apocalyptic number.

102087445152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102087445152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175782782448).

102087445152 is an abundant number, since it is smaller than the sum of its proper divisors (249478119744).

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

102087445152 is a wasteful number, since it uses less digits than its factorization.

102087445152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The spelling of 102087445152 in words is "one hundred two billion, eighty-seven million, four hundred forty-five thousand, one hundred fifty-two".