105202461 has 24 divisors (see below), whose sum is σ = 175725984. Its totient is φ = 55490400.

The previous prime is 105202457. The next prime is 105202463. The reversal of 105202461 is 164202501.

It is not a de Polignac number, because 105202461 - 2² = 105202457 is a prime.

It is a super-2 number, since 2×105202461² = 22135115600913042, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105202463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25615 + ... + 29436.

It is an arithmetic number, because the mean of its divisors is an integer number (7321916).

Almost surely, 2^105202461 is an apocalyptic number.

It is an amenable number.

105202461 is a deficient number, since it is larger than the sum of its proper divisors (70523523).

105202461 is a wasteful number, since it uses less digits than its factorization.

105202461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55081 (or 55074 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 105202461 is about 10256.8250935657. The cubic root of 105202461 is about 472.0724252671.

Adding to 105202461 its reverse (164202501), we get a palindrome (269404962).

It can be divided in two parts, 105 and 202461, that added together give a triangular number (202566 = T₆₃₆).

The spelling of 105202461 in words is "one hundred five million, two hundred two thousand, four hundred sixty-one".