102616817742881 has 8 divisors (see below), whose sum is σ = 113205795184104. Its totient is φ = 92412894026880.

The previous prime is 102616817742869. The next prime is 102616817742919. The reversal of 102616817742881 is 188247718616201.

It can be written as a sum of positive squares in 4 ways, for example, as 9157402254400 + 93459415488481 = 3026120^2 + 9667441^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 102616817742881 - 2³⁸ = 102341939835937 is a prime.

It is a super-2 number, since 2×102616817742881² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102616817742841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96263430746 + ... + 96263431811.

It is an arithmetic number, because the mean of its divisors is an integer number (14150724398013).

Almost surely, 2^{102616817742881} is an apocalyptic number.

It is an amenable number.

102616817742881 is a deficient number, since it is larger than the sum of its proper divisors (10588977441223).

102616817742881 is a wasteful number, since it uses less digits than its factorization.

102616817742881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192526862611.

The product of its (nonzero) digits is 14450688, while the sum is 62.

The spelling of 102616817742881 in words is "one hundred two trillion, six hundred sixteen billion, eight hundred seventeen million, seven hundred forty-two thousand, eight hundred eighty-one".