102659612799744 has 5184 divisors, whose sum is σ = 448297431859200. Its totient is φ = 22596613079040.

The previous prime is 102659612799703. The next prime is 102659612799847. The reversal of 102659612799744 is 447997216956201.

102659612799744 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 596 + 1 + 27 + 9 + 9 + 7 + 4 + 4 = 666.

It is a super-2 number, since 2×102659612799744² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 808343407809 + ... + 808343407935.

Almost surely, 2^{102659612799744} is an apocalyptic number.

102659612799744 is a gapful number since it is divisible by the number (14) 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 102659612799744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224148715929600).

102659612799744 is an abundant number, since it is smaller than the sum of its proper divisors (345637819059456).

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

102659612799744 is a wasteful number, since it uses less digits than its factorization.

102659612799744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 102659612799744 in words is "one hundred two trillion, six hundred fifty-nine billion, six hundred twelve million, seven hundred ninety-nine thousand, seven hundred forty-four".