106005915 has 40 divisors (see below), whose sum is σ = 194103360. Its totient is φ = 55323648.

The previous prime is 106005899. The next prime is 106005917. The reversal of 106005915 is 519500601.

106005915 is a `hidden beast` number, since 1 + 0 + 600 + 59 + 1 + 5 = 666.

It is not a de Polignac number, because 106005915 - 2⁴ = 106005899 is a prime.

It is a super-2 number, since 2×106005915² = 22474508029974450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106005917) 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 39 ways as a sum of consecutive naturals, for example, 16251 + ... + 21819.

It is an arithmetic number, because the mean of its divisors is an integer number (4852584).

Almost surely, 2^106005915 is an apocalyptic number.

106005915 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106005915 is a deficient number, since it is larger than the sum of its proper divisors (88097445).

106005915 is an equidigital number, since it uses as much as digits as its factorization.

106005915 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633 (or 5624 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 106005915 is about 10295.9173947735. The cubic root of 106005915 is about 473.2711519299.

The spelling of 106005915 in words is "one hundred six million, five thousand, nine hundred fifteen".