102327529920 has 896 divisors, whose sum is σ = 426692689920. Its totient is φ = 20145438720.

The previous prime is 102327529919. The next prime is 102327529921. The reversal of 102327529920 is 29925723201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102327529919) and next prime (102327529921).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102327529921) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 236322024 + ... + 236322456.

It is an arithmetic number, because the mean of its divisors is an integer number (476219520).

Almost surely, 2^102327529920 is an apocalyptic number.

102327529920 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 102327529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213346344960).

102327529920 is an abundant number, since it is smaller than the sum of its proper divisors (324365160000).

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

102327529920 is a wasteful number, since it uses less digits than its factorization.

102327529920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 102327529920 in words is "one hundred two billion, three hundred twenty-seven million, five hundred twenty-nine thousand, nine hundred twenty".