106355353 has 16 divisors (see below), whose sum is σ = 120523536. Its totient is φ = 93173760.

The previous prime is 106355339. The next prime is 106355371. The reversal of 106355353 is 353553601.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 121104 + 106234249 = 348^2 + 10307^2 .

It is a cyclic number.

It is not a de Polignac number, because 106355353 - 2²⁵ = 72800921 is a prime.

It is a super-2 number, since 2×106355353² = 22622922223509218, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106355303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17025 + ... + 22417.

It is an arithmetic number, because the mean of its divisors is an integer number (7532721).

Almost surely, 2^106355353 is an apocalyptic number.

106355353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106355353 is a deficient number, since it is larger than the sum of its proper divisors (14168183).

106355353 is a wasteful number, since it uses less digits than its factorization.

106355353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5484.

The product of its (nonzero) digits is 20250, while the sum is 31.

The square root of 106355353 is about 10312.8731690058. The cubic root of 106355353 is about 473.7906120576.

The spelling of 106355353 in words is "one hundred six million, three hundred fifty-five thousand, three hundred fifty-three".