10105497 has 18 divisors (see below), whose sum is σ = 15515838. Its totient is φ = 6316032.

The previous prime is 10105489. The next prime is 10105507. The reversal of 10105497 is 79450101.

It can be written as a sum of positive squares in 3 ways, for example, as 8785296 + 1320201 = 2964^2 + 1149^2 .

It is not a de Polignac number, because 10105497 - 2³ = 10105489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10105497.

It is not an unprimeable number, because it can be changed into a prime (10105097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39193 + ... + 39449.

It is an arithmetic number, because the mean of its divisors is an integer number (861991).

Almost surely, 2^10105497 is an apocalyptic number.

10105497 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10105497 is a deficient number, since it is larger than the sum of its proper divisors (5410341).

10105497 is an equidigital number, since it uses as much as digits as its factorization.

10105497 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 10105497 is about 3178.9144373512. The cubic root of 10105497 is about 216.1984416049.

Adding to 10105497 its reverse (79450101), we get a palindrome (89555598).

The spelling of 10105497 in words is "ten million, one hundred five thousand, four hundred ninety-seven".