106153305 has 16 divisors (see below), whose sum is σ = 173988864. Its totient is φ = 55233920.

The previous prime is 106153297. The next prime is 106153337. The reversal of 106153305 is 503351601.

It is not a de Polignac number, because 106153305 - 2³ = 106153297 is a prime.

It is a super-2 number, since 2×106153305² = 22537048324846050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85689 + ... + 86918.

It is an arithmetic number, because the mean of its divisors is an integer number (10874304).

Almost surely, 2^106153305 is an apocalyptic number.

106153305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106153305 is a deficient number, since it is larger than the sum of its proper divisors (67835559).

106153305 is a wasteful number, since it uses less digits than its factorization.

106153305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172656.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 106153305 is about 10303.0725999577. The cubic root of 106153305 is about 473.4903948242.

The spelling of 106153305 in words is "one hundred six million, one hundred fifty-three thousand, three hundred five".