106415407 has 12 divisors (see below), whose sum is σ = 124322800. Its totient is φ = 91049448.

The previous prime is 106415383. The next prime is 106415417. The reversal of 106415407 is 704514601.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a de Polignac number, because none of the positive numbers 2^k-106415407 is a prime.

It is a super-2 number, since 2×106415407² = 22648477693951298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106415417) 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, 190773 + ... + 191329.

Almost surely, 2^106415407 is an apocalyptic number.

106415407 is a deficient number, since it is larger than the sum of its proper divisors (17907393).

106415407 is an frugal number, since it uses more digits than its factorization.

106415407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 106415407 is about 10315.7843618408. The cubic root of 106415407 is about 473.8797712362.

Multiplying 106415407 by its sum of digits (28), we get a square (2979631396 = 54586²).

It can be divided in two parts, 1064 and 15407, that added together give a triangular number (16471 = T₁₈₁).

The spelling of 106415407 in words is "one hundred six million, four hundred fifteen thousand, four hundred seven".