102708240269760 has 448 divisors, whose sum is σ = 374072852828160. Its totient is φ = 26501604986880.

The previous prime is 102708240269759. The next prime is 102708240269839. The reversal of 102708240269760 is 67962042807201.

102708240269760 is a `hidden beast` number, since 1 + 0 + 2 + 70 + 8 + 240 + 269 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 102708240269697 and 102708240269706.

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 63 ways as a sum of consecutive naturals, for example, 2239922994 + ... + 2239968846.

Almost surely, 2^{102708240269760} is an apocalyptic number.

102708240269760 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 102708240269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187036426414080).

102708240269760 is an abundant number, since it is smaller than the sum of its proper divisors (271364612558400).

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

102708240269760 is a wasteful number, since it uses less digits than its factorization.

102708240269760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54273 (or 54257 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 102708240269760 in words is "one hundred two trillion, seven hundred eight billion, two hundred forty million, two hundred sixty-nine thousand, seven hundred sixty".