102321666720 has 1728 divisors, whose sum is σ = 478093674240. Its totient is φ = 20253929472.

The previous prime is 102321666661. The next prime is 102321666743. The reversal of 102321666720 is 27666123201.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 993414189 + ... + 993414291.

It is an arithmetic number, because the mean of its divisors is an integer number (276674580).

Almost surely, 2^102321666720 is an apocalyptic number.

102321666720 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 102321666720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239046837120).

102321666720 is an abundant number, since it is smaller than the sum of its proper divisors (375772007520).

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

102321666720 is a wasteful number, since it uses less digits than its factorization.

102321666720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 102321666720 its reverse (27666123201), we get a palindrome (129987789921).

It can be divided in two parts, 1023216 and 66720, that added together give a square (1089936 = 1044²).

The spelling of 102321666720 in words is "one hundred two billion, three hundred twenty-one million, six hundred sixty-six thousand, seven hundred twenty".