102772713755345 has 8 divisors (see below), whose sum is σ = 123327311565480. Its totient is φ = 82218134298240.

The previous prime is 102772713755317. The next prime is 102772713755417. The reversal of 102772713755345 is 543557317277201.

It can be written as a sum of positive squares in 4 ways, for example, as 766612318096 + 102006101437249 = 875564^2 + 10099807^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-102772713755345 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16767635 + ... + 22061255.

It is an arithmetic number, because the mean of its divisors is an integer number (15415913945685).

Almost surely, 2^{102772713755345} is an apocalyptic number.

It is an amenable number.

102772713755345 is a deficient number, since it is larger than the sum of its proper divisors (20554597810135).

102772713755345 is an equidigital number, since it uses as much as digits as its factorization.

102772713755345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9176515.

The product of its (nonzero) digits is 43218000, while the sum is 59.

The spelling of 102772713755345 in words is "one hundred two trillion, seven hundred seventy-two billion, seven hundred thirteen million, seven hundred fifty-five thousand, three hundred forty-five".