102906517 has 16 divisors (see below), whose sum is σ = 121392000. Its totient is φ = 87188640.

The previous prime is 102906511. The next prime is 102906533. The reversal of 102906517 is 715609201.

It is a de Polignac number, because none of the positive numbers 2^k-102906517 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102906511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28842 + ... + 32212.

It is an arithmetic number, because the mean of its divisors is an integer number (7587000).

Almost surely, 2^102906517 is an apocalyptic number.

It is an amenable number.

102906517 is a deficient number, since it is larger than the sum of its proper divisors (18485483).

102906517 is an frugal number, since it uses more digits than its factorization.

102906517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3481 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 102906517 is about 10144.2849427646. The cubic root of 102906517 is about 468.6129575801.

It can be divided in two parts, 10290 and 6517, that added together give a 5-th power (16807 = 7⁵).

The spelling of 102906517 in words is "one hundred two million, nine hundred six thousand, five hundred seventeen".