106312057 has 8 divisors (see below), whose sum is σ = 112661640. Its totient is φ = 100141440.

The previous prime is 106312043. The next prime is 106312069. The reversal of 106312057 is 750213601.

It can be written as a sum of positive squares in 4 ways, for example, as 962361 + 105349696 = 981^2 + 10264^2 .

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 106312057 - 2¹⁵ = 106279289 is a prime.

It is a super-2 number, since 2×106312057² = 22604506927142498, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106312007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43518 + ... + 45895.

It is an arithmetic number, because the mean of its divisors is an integer number (14082705).

Almost surely, 2^106312057 is an apocalyptic number.

It is an amenable number.

106312057 is a deficient number, since it is larger than the sum of its proper divisors (6349583).

106312057 is an equidigital number, since it uses as much as digits as its factorization.

106312057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89483.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 106312057 is about 10310.7738312893. The cubic root of 106312057 is about 473.7263118228.

Adding to 106312057 its reverse (750213601), we get a palindrome (856525658).

The spelling of 106312057 in words is "one hundred six million, three hundred twelve thousand, fifty-seven".