106507057 has 8 divisors (see below), whose sum is σ = 112862592. Its totient is φ = 100161600.

The previous prime is 106507039. The next prime is 106507069. The reversal of 106507057 is 750705601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106507057 - 2¹⁵ = 106474289 is a prime.

It is a super-2 number, since 2×106507057² = 22687506381602498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106502057) 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 7 ways as a sum of consecutive naturals, for example, 37932 + ... + 40642.

It is an arithmetic number, because the mean of its divisors is an integer number (14107824).

Almost surely, 2^106507057 is an apocalyptic number.

106507057 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106507057 is a deficient number, since it is larger than the sum of its proper divisors (6355535).

106507057 is a wasteful number, since it uses less digits than its factorization.

106507057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5039.

The product of its (nonzero) digits is 7350, while the sum is 31.

The square root of 106507057 is about 10320.2256273785. The cubic root of 106507057 is about 474.0157747840.

The spelling of 106507057 in words is "one hundred six million, five hundred seven thousand, fifty-seven".