102736161 has 32 divisors (see below), whose sum is σ = 170544000. Its totient is φ = 60575040.

The previous prime is 102736141. The next prime is 102736181. The reversal of 102736161 is 161637201.

It is an interprime number because it is at equal distance from previous prime (102736141) and next prime (102736181).

It is not a de Polignac number, because 102736161 - 2¹⁰ = 102735137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102736121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6315 + ... + 15663.

It is an arithmetic number, because the mean of its divisors is an integer number (5329500).

Almost surely, 2^102736161 is an apocalyptic number.

102736161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102736161 is a deficient number, since it is larger than the sum of its proper divisors (67807839).

102736161 is a wasteful number, since it uses less digits than its factorization.

102736161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9406 (or 9400 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 102736161 is about 10135.8848158412. The cubic root of 102736161 is about 468.3542272170.

The spelling of 102736161 in words is "one hundred two million, seven hundred thirty-six thousand, one hundred sixty-one".