105337134 has 48 divisors (see below), whose sum is σ = 276183648. Its totient is φ = 28325376.

The previous prime is 105337123. The next prime is 105337139. The reversal of 105337134 is 431733501.

It is a super-2 number, since 2×105337134² = 22191823598667912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105337098 and 105337107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105337139) 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 23 ways as a sum of consecutive naturals, for example, 22447 + ... + 26730.

It is an arithmetic number, because the mean of its divisors is an integer number (5753826).

Almost surely, 2^105337134 is an apocalyptic number.

105337134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105337134 is an abundant number, since it is smaller than the sum of its proper divisors (170846514).

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

105337134 is a wasteful number, since it uses less digits than its factorization.

105337134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49209 (or 49206 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 105337134 is about 10263.3880370957. The cubic root of 105337134 is about 472.2737776566.

The spelling of 105337134 in words is "one hundred five million, three hundred thirty-seven thousand, one hundred thirty-four".