10106415 has 48 divisors (see below), whose sum is σ = 20251296. Its totient is φ = 4608000.

The previous prime is 10106401. The next prime is 10106417. The reversal of 10106415 is 51460101.

10106415 is a `hidden beast` number, since 10 + 10 + 641 + 5 = 666.

It is not a de Polignac number, because 10106415 - 2⁴ = 10106399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7815 + ... + 9015.

It is an arithmetic number, because the mean of its divisors is an integer number (421902).

Almost surely, 2^10106415 is an apocalyptic number.

10106415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10106415 is an abundant number, since it is smaller than the sum of its proper divisors (10144881).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10106415 is a wasteful number, since it uses less digits than its factorization.

10106415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10106415 is about 3179.0588229852. The cubic root of 10106415 is about 216.2049880142.

Adding to 10106415 its reverse (51460101), we get a palindrome (61566516).

The spelling of 10106415 in words is "ten million, one hundred six thousand, four hundred fifteen".