106133363 has 24 divisors (see below), whose sum is σ = 132099552. Its totient is φ = 84720384.

The previous prime is 106133341. The next prime is 106133369. The reversal of 106133363 is 363331601.

It is not a de Polignac number, because 106133363 - 2⁶ = 106133299 is a prime.

It is a super-2 number, since 2×106133363² = 22528581483379538, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106133369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85181 + ... + 86417.

It is an arithmetic number, because the mean of its divisors is an integer number (5504148).

Almost surely, 2^106133363 is an apocalyptic number.

106133363 is a deficient number, since it is larger than the sum of its proper divisors (25966189).

106133363 is a wasteful number, since it uses less digits than its factorization.

106133363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

The square root of 106133363 is about 10302.1047849456. The cubic root of 106133363 is about 473.4607429392.

Adding to 106133363 its reverse (363331601), we get a palindrome (469464964).

The spelling of 106133363 in words is "one hundred six million, one hundred thirty-three thousand, three hundred sixty-three".