10107361 has 16 divisors (see below), whose sum is σ = 11487168. Its totient is φ = 8812800.

The previous prime is 10107343. The next prime is 10107403. The reversal of 10107361 is 16370101.

It is a happy number.

10107361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10107361 - 2⁵ = 10107329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10107301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32770 + ... + 33076.

It is an arithmetic number, because the mean of its divisors is an integer number (717948).

Almost surely, 2^10107361 is an apocalyptic number.

10107361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10107361 is a deficient number, since it is larger than the sum of its proper divisors (1379807).

10107361 is a wasteful number, since it uses less digits than its factorization.

10107361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 10107361 is about 3179.2076056779. The cubic root of 10107361 is about 216.2117336814.

Adding to 10107361 its reverse (16370101), we get a palindrome (26477462).

The spelling of 10107361 in words is "ten million, one hundred seven thousand, three hundred sixty-one".