106312049 has 16 divisors (see below), whose sum is σ = 118548480. Its totient is φ = 94873680.

The previous prime is 106312043. The next prime is 106312069. The reversal of 106312049 is 940213601.

It is a cyclic number.

It is not a de Polignac number, because 106312049 - 2²⁴ = 89534833 is a prime.

It is a super-2 number, since 2×106312049² = 22604503525156802, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106312043) 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 15 ways as a sum of consecutive naturals, for example, 27464 + ... + 31094.

It is an arithmetic number, because the mean of its divisors is an integer number (7409280).

Almost surely, 2^106312049 is an apocalyptic number.

106312049 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

106312049 is a deficient number, since it is larger than the sum of its proper divisors (12236431).

106312049 is a wasteful number, since it uses less digits than its factorization.

106312049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 106312049 is about 10310.7734433456. The cubic root of 106312049 is about 473.7262999401.

The spelling of 106312049 in words is "one hundred six million, three hundred twelve thousand, forty-nine".