10187361 has 12 divisors (see below), whose sum is σ = 14753700. Its totient is φ = 6773760.

The previous prime is 10187339. The next prime is 10187371. The reversal of 10187361 is 16378101.

10187361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2030625 + 8156736 = 1425^2 + 2856^2 .

It is not a de Polignac number, because 10187361 - 2⁵ = 10187329 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10187371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2781 + ... + 5301.

It is an arithmetic number, because the mean of its divisors is an integer number (1229475).

Almost surely, 2^10187361 is an apocalyptic number.

It is an amenable number.

10187361 is a deficient number, since it is larger than the sum of its proper divisors (4566339).

10187361 is a wasteful number, since it uses less digits than its factorization.

10187361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2976 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 10187361 is about 3191.7645589861. The cubic root of 10187361 is about 216.7806755673.

The spelling of 10187361 in words is "ten million, one hundred eighty-seven thousand, three hundred sixty-one".