102423216960 has 392 divisors, whose sum is σ = 366994074240. Its totient is φ = 27214507008.

The previous prime is 102423216953. The next prime is 102423216967. The reversal of 102423216960 is 69612324201.

It is a happy number.

102423216960 is a `hidden beast` number, since 1 + 0 + 242 + 321 + 6 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102423216953) and next prime (102423216967).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102423216967) 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 55 ways as a sum of consecutive naturals, for example, 83746909 + ... + 83748131.

Almost surely, 2^102423216960 is an apocalyptic number.

102423216960 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 102423216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183497037120).

102423216960 is an abundant number, since it is smaller than the sum of its proper divisors (264570857280).

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

102423216960 is an equidigital number, since it uses as much as digits as its factorization.

102423216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 102423216960 in words is "one hundred two billion, four hundred twenty-three million, two hundred sixteen thousand, nine hundred sixty".