102746137 has 8 divisors (see below), whose sum is σ = 110911304. Its totient is φ = 94618368.

The previous prime is 102746131. The next prime is 102746141. The reversal of 102746137 is 731647201.

It can be written as a sum of positive squares in 4 ways, for example, as 14930496 + 87815641 = 3864^2 + 9371^2 .

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

It is not a de Polignac number, because 102746137 - 2⁷ = 102746009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102746099 and 102746108.

It is not an unprimeable number, because it can be changed into a prime (102746131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3498 + ... + 14755.

It is an arithmetic number, because the mean of its divisors is an integer number (13863913).

Almost surely, 2^102746137 is an apocalyptic number.

It is an amenable number.

102746137 is a deficient number, since it is larger than the sum of its proper divisors (8165167).

102746137 is a wasteful number, since it uses less digits than its factorization.

102746137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18699.

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 102746137 is about 10136.3769168278. The cubic root of 102746137 is about 468.3693862759.

The spelling of 102746137 in words is "one hundred two million, seven hundred forty-six thousand, one hundred thirty-seven".