102671361 has 32 divisors (see below), whose sum is σ = 166091520. Its totient is φ = 62301312.

The previous prime is 102671321. The next prime is 102671389. The reversal of 102671361 is 163176201.

It is not a de Polignac number, because 102671361 - 2¹¹ = 102669313 is a prime.

It is a super-4 number, since 4×102671361⁴ (a number of 33 digits) contains 4444 as substring.

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 (102671311) 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, 23620 + ... + 27626.

It is an arithmetic number, because the mean of its divisors is an integer number (5190360).

Almost surely, 2^102671361 is an apocalyptic number.

It is an amenable number.

102671361 is a deficient number, since it is larger than the sum of its proper divisors (63420159).

102671361 is a wasteful number, since it uses less digits than its factorization.

102671361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4102 (or 4096 counting only the distinct ones).

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

The square root of 102671361 is about 10132.6877480755. The cubic root of 102671361 is about 468.2557362971.

It can be divided in two parts, 10267 and 1361, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 102671361 in words is "one hundred two million, six hundred seventy-one thousand, three hundred sixty-one".