102434641 has 9 divisors (see below), whose sum is σ = 106393521. Its totient is φ = 98619024.

The previous prime is 102434623. The next prime is 102434659. The reversal of 102434641 is 146434201.

The square root of 102434641 is 10121.

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

It is an interprime number because it is at equal distance from previous prime (102434623) and next prime (102434659).

It can be written as a sum of positive squares in 4 ways, for example, as 7177041 + 95257600 = 2679^2 + 9760^2 .

It is not a de Polignac number, because 102434641 - 2⁵ = 102434609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102434671) 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, 293335 + ... + 293683.

Almost surely, 2^102434641 is an apocalyptic number.

102434641 is the 10121-st square number.

102434641 is the 5061-st centered octagonal number.

It is an amenable number.

102434641 is a deficient number, since it is larger than the sum of its proper divisors (3958880).

102434641 is an frugal number, since it uses more digits than its factorization.

102434641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The cubic root of 102434641 is about 467.8955878425.

Multiplying 102434641 by its sum of digits (25), we get a square (2560866025 = 50605²).

Multiplying 102434641 by its product of nonzero digits (2304), we get a square (236009412864 = 485808²).

Adding to 102434641 its reverse (146434201), we get a palindrome (248868842).

It can be divided in two parts, 10243 and 4641, that added together give a square (14884 = 122²).

The spelling of 102434641 in words is "one hundred two million, four hundred thirty-four thousand, six hundred forty-one".