102334256640 has 960 divisors, whose sum is σ = 454098078720. Its totient is φ = 20676280320.

The previous prime is 102334256621. The next prime is 102334256653. The reversal of 102334256640 is 46652433201.

102334256640 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 3 + 4 + 2 + 5 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×102334256640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 102334256595 and 102334256604.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 65640181 + ... + 65641739.

It is an arithmetic number, because the mean of its divisors is an integer number (473018832).

Almost surely, 2^102334256640 is an apocalyptic number.

102334256640 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 102334256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227049039360).

102334256640 is an abundant number, since it is smaller than the sum of its proper divisors (351763822080).

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

102334256640 is a wasteful number, since it uses less digits than its factorization.

102334256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 102334256640 its reverse (46652433201), we get a palindrome (148986689841).

The spelling of 102334256640 in words is "one hundred two billion, three hundred thirty-four million, two hundred fifty-six thousand, six hundred forty".