102417717941 has 18 divisors (see below), whose sum is σ = 130954421430. Its totient is φ = 79806009360.

The previous prime is 102417717937. The next prime is 102417717949. The reversal of 102417717941 is 149717714201.

It can be written as a sum of positive squares in only one way, i.e., 102112202500 + 305515441 = 319550^2 + 17479^2 .

It is not a de Polignac number, because 102417717941 - 2² = 102417717937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102417717892 and 102417717901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102417717949) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8631086 + ... + 8642943.

It is an arithmetic number, because the mean of its divisors is an integer number (7275245635).

Almost surely, 2^102417717941 is an apocalyptic number.

102417717941 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102417717941 is a deficient number, since it is larger than the sum of its proper divisors (28536703489).

102417717941 is a wasteful number, since it uses less digits than its factorization.

102417717941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17274065 (or 17274047 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 44.

The spelling of 102417717941 in words is "one hundred two billion, four hundred seventeen million, seven hundred seventeen thousand, nine hundred forty-one".