105133756 has 48 divisors (see below), whose sum is σ = 227347456. Its totient is φ = 41425344.

The previous prime is 105133751. The next prime is 105133771. The reversal of 105133756 is 657331501.

It is a super-2 number, since 2×105133756² = 22106213301335072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105133751) 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, 133195 + ... + 133981.

Almost surely, 2^105133756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105133756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113673728).

105133756 is an abundant number, since it is smaller than the sum of its proper divisors (122213700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105133756 is a wasteful number, since it uses less digits than its factorization.

105133756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 105133756 is about 10253.4753132779. The cubic root of 105133756 is about 471.9696368000.

The spelling of 105133756 in words is "one hundred five million, one hundred thirty-three thousand, seven hundred fifty-six".