102089704909248 has 448 divisors, whose sum is σ = 356215119237120. Its totient is φ = 28064914504704.

The previous prime is 102089704909237. The next prime is 102089704909259. The reversal of 102089704909248 is 842909407980201.

102089704909248 is a `hidden beast` number, since 1 + 0 + 20 + 89 + 7 + 0 + 490 + 9 + 2 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (102089704909237) and next prime (102089704909259).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33383815 + ... + 36313337.

Almost surely, 2^{102089704909248} is an apocalyptic number.

102089704909248 is a gapful number since it is divisible by the number (18) 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 102089704909248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178107559618560).

102089704909248 is an abundant number, since it is smaller than the sum of its proper divisors (254125414327872).

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

102089704909248 is a wasteful number, since it uses less digits than its factorization.

102089704909248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929661 (or 2929645 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 102089704909248 in words is "one hundred two trillion, eighty-nine billion, seven hundred four million, nine hundred nine thousand, two hundred forty-eight".