102607080715566 has 96 divisors (see below), whose sum is σ = 255435958185408. Its totient is φ = 29159291105280.

The previous prime is 102607080715547. The next prime is 102607080715571. The reversal of 102607080715566 is 665517080706201.

It is a happy number.

102607080715566 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 0 + 7 + 0 + 8 + 0 + 71 + 5 + 566 = 666.

It is a super-2 number, since 2×102607080715566² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139242160 + ... + 139977116.

It is an arithmetic number, because the mean of its divisors is an integer number (2660791231098).

Almost surely, 2^{102607080715566} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102607080715566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127717979092704).

102607080715566 is an abundant number, since it is smaller than the sum of its proper divisors (152828877469842).

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

102607080715566 is a wasteful number, since it uses less digits than its factorization.

102607080715566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740906 (or 740903 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 102607080715566 in words is "one hundred two trillion, six hundred seven billion, eighty million, seven hundred fifteen thousand, five hundred sixty-six".