102056641 has 8 divisors (see below), whose sum is σ = 104232744. Its totient is φ = 99889920.

The previous prime is 102056629. The next prime is 102056653. The reversal of 102056641 is 146650201.

It is an interprime number because it is at equal distance from previous prime (102056629) and next prime (102056653).

It can be written as a sum of positive squares in 4 ways, for example, as 39187600 + 62869041 = 6260^2 + 7929^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 102056641 - 2⁵ = 102056609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102056341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22345 + ... + 26521.

It is an arithmetic number, because the mean of its divisors is an integer number (13029093).

Almost surely, 2^102056641 is an apocalyptic number.

It is an amenable number.

102056641 is a deficient number, since it is larger than the sum of its proper divisors (2176103).

102056641 is an equidigital number, since it uses as much as digits as its factorization.

102056641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4691.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 102056641 is about 10102.3086965307. The cubic root of 102056641 is about 467.3193422474.

The spelling of 102056641 in words is "one hundred two million, fifty-six thousand, six hundred forty-one".