106404975 has 24 divisors (see below), whose sum is σ = 195471120. Its totient is φ = 56748960.

The previous prime is 106404971. The next prime is 106405003. The reversal of 106404975 is 579404601.

106404975 is a `hidden beast` number, since 1 + 0 + 640 + 4 + 9 + 7 + 5 = 666.

It is not a de Polignac number, because 106404975 - 2² = 106404971 is a prime.

It is a super-2 number, since 2×106404975² = 22644037409501250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106404971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78144 + ... + 79493.

It is an arithmetic number, because the mean of its divisors is an integer number (8144630).

Almost surely, 2^106404975 is an apocalyptic number.

106404975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106404975 is a deficient number, since it is larger than the sum of its proper divisors (89066145).

106404975 is a wasteful number, since it uses less digits than its factorization.

106404975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157656 (or 157645 counting only the distinct ones).

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

The square root of 106404975 is about 10315.2787165447. The cubic root of 106404975 is about 473.8642857739.

The spelling of 106404975 in words is "one hundred six million, four hundred four thousand, nine hundred seventy-five".