102360672000 has 1440 divisors, whose sum is σ = 425025304704. Its totient is φ = 24330240000.

The previous prime is 102360671989. The next prime is 102360672031. The reversal of 102360672000 is 276063201.

It is a happy number.

102360672000 is a `hidden beast` number, since 10 + 23 + 606 + 7 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 1013471950 + ... + 1013472050.

Almost surely, 2^102360672000 is an apocalyptic number.

102360672000 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 102360672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212512652352).

102360672000 is an abundant number, since it is smaller than the sum of its proper divisors (322664632704).

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

102360672000 is a wasteful number, since it uses less digits than its factorization.

102360672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 102360672000 in words is "one hundred two billion, three hundred sixty million, six hundred seventy-two thousand".