102729987360 has 2304 divisors, whose sum is σ = 515672801280. Its totient is φ = 18065203200.

The previous prime is 102729987343. The next prime is 102729987377. The reversal of 102729987360 is 63789927201.

102729987360 is a `hidden beast` number, since 1 + 0 + 272 + 9 + 9 + 8 + 7 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (102729987343) and next prime (102729987377).

It is a junction number, because it is equal to n+sod(n) for n = 102729987297 and 102729987306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3313870545 + ... + 3313870575.

It is an arithmetic number, because the mean of its divisors is an integer number (223816320).

Almost surely, 2^102729987360 is an apocalyptic number.

102729987360 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 102729987360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257836400640).

102729987360 is an abundant number, since it is smaller than the sum of its proper divisors (412942813920).

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

102729987360 is a wasteful number, since it uses less digits than its factorization.

102729987360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 102729987360 in words is "one hundred two billion, seven hundred twenty-nine million, nine hundred eighty-seven thousand, three hundred sixty".