106766415 has 48 divisors (see below), whose sum is σ = 222643200. Its totient is φ = 46236096.

The previous prime is 106766399. The next prime is 106766417. The reversal of 106766415 is 514667601.

106766415 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 6 + 641 + 5 = 666.

It is not a de Polignac number, because 106766415 - 2⁴ = 106766399 is a prime.

It is a super-2 number, since 2×106766415² = 22798134743904450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106766415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106766417) 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, 2935 + ... + 14904.

It is an arithmetic number, because the mean of its divisors is an integer number (4638400).

Almost surely, 2^106766415 is an apocalyptic number.

106766415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106766415 is an abundant number, since it is smaller than the sum of its proper divisors (115876785).

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

106766415 is a wasteful number, since it uses less digits than its factorization.

106766415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17876 (or 17873 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 106766415 is about 10332.7835068775. The cubic root of 106766415 is about 474.4002254496.

The spelling of 106766415 in words is "one hundred six million, seven hundred sixty-six thousand, four hundred fifteen".