105966357 has 16 divisors (see below), whose sum is σ = 161871360. Its totient is φ = 60402672.

The previous prime is 105966353. The next prime is 105966361. The reversal of 105966357 is 753669501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105966353) and next prime (105966361).

It is not a de Polignac number, because 105966357 - 2² = 105966353 is a prime.

It is a super-2 number, since 2×105966357² = 22457737631702898, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105966353) 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, 2778 + ... + 14820.

It is an arithmetic number, because the mean of its divisors is an integer number (10116960).

Almost surely, 2^105966357 is an apocalyptic number.

It is an amenable number.

105966357 is a deficient number, since it is larger than the sum of its proper divisors (55905003).

105966357 is a wasteful number, since it uses less digits than its factorization.

105966357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12472.

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 105966357 is about 10293.9961628126. The cubic root of 105966357 is about 473.2122747453.

The spelling of 105966357 in words is "one hundred five million, nine hundred sixty-six thousand, three hundred fifty-seven".