102259080000 has 2520 divisors, whose sum is σ = 508015183104. Its totient is φ = 19353600000.

The previous prime is 102259079971. The next prime is 102259080019. The reversal of 102259080000 is 80952201.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3298679985 + ... + 3298680015.

Almost surely, 2^102259080000 is an apocalyptic number.

102259080000 is a gapful number since it is divisible by the number (10) 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 102259080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254007591552).

102259080000 is an abundant number, since it is smaller than the sum of its proper divisors (405756103104).

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

102259080000 is a wasteful number, since it uses less digits than its factorization.

102259080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

It can be divided in two parts, 10225 and 9080000, that added together give a square (9090225 = 3015²).

The spelling of 102259080000 in words is "one hundred two billion, two hundred fifty-nine million, eighty thousand".