10106037 has 12 divisors (see below), whose sum is σ = 14643564. Its totient is φ = 6716160.

The previous prime is 10106023. The next prime is 10106077. The reversal of 10106037 is 73060101.

10106037 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 2187441 + 7918596 = 1479^2 + 2814^2 .

It is not a de Polignac number, because 10106037 - 2⁴ = 10106021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106017) 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, 1587 + ... + 4767.

It is an arithmetic number, because the mean of its divisors is an integer number (1220297).

Almost surely, 2^10106037 is an apocalyptic number.

It is an amenable number.

10106037 is a deficient number, since it is larger than the sum of its proper divisors (4537527).

10106037 is a wasteful number, since it uses less digits than its factorization.

10106037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 10106037 is about 3178.9993708713. Note that the first 3 decimals coincide. The cubic root of 10106037 is about 216.2022924819.

Adding to 10106037 its reverse (73060101), we get a palindrome (83166138).

The spelling of 10106037 in words is "ten million, one hundred six thousand, thirty-seven".