102596641 has 9 divisors (see below), whose sum is σ = 119429649. Its totient is φ = 87879204.

The previous prime is 102596623. The next prime is 102596647. The reversal of 102596641 is 146695201.

The square root of 102596641 is 10129.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 102596641 - 2¹³ = 102588449 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102596597 and 102596606.

It is not an unprimeable number, because it can be changed into a prime (102596647) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70180 + ... + 71626.

It is an arithmetic number, because the mean of its divisors is an integer number (13269961).

Almost surely, 2^102596641 is an apocalyptic number.

102596641 is the 10129-th square number.

102596641 is the 5065-th centered octagonal number.

It is an amenable number.

102596641 is a deficient number, since it is larger than the sum of its proper divisors (16833008).

102596641 is an frugal number, since it uses more digits than its factorization.

102596641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The cubic root of 102596641 is about 468.1421162985.

It can be divided in two parts, 10259 and 6641, that added together give a square (16900 = 130²).

The spelling of 102596641 in words is "one hundred two million, five hundred ninety-six thousand, six hundred forty-one".