102741246720 has 576 divisors, whose sum is σ = 417957120000. Its totient is φ = 23411441664.

The previous prime is 102741246689. The next prime is 102741246791. The reversal of 102741246720 is 27642147201.

102741246720 is a `hidden beast` number, since 102 + 74 + 1 + 2 + 467 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144909726 + ... + 144910434.

It is an arithmetic number, because the mean of its divisors is an integer number (725620000).

Almost surely, 2^102741246720 is an apocalyptic number.

102741246720 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 102741246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208978560000).

102741246720 is an abundant number, since it is smaller than the sum of its proper divisors (315215873280).

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

102741246720 is an equidigital number, since it uses as much as digits as its factorization.

102741246720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 102741246720 in words is "one hundred two billion, seven hundred forty-one million, two hundred forty-six thousand, seven hundred twenty".