106541310 has 32 divisors (see below), whose sum is σ = 259207200. Its totient is φ = 28021248.

The previous prime is 106541297. The next prime is 106541311. The reversal of 106541310 is 13145601.

It is a super-2 number, since 2×106541310² = 22702101473032200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106541311) 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, 22135 + ... + 26514.

It is an arithmetic number, because the mean of its divisors is an integer number (8100225).

Almost surely, 2^106541310 is an apocalyptic number.

106541310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106541310 is an abundant number, since it is smaller than the sum of its proper divisors (152665890).

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

106541310 is a wasteful number, since it uses less digits than its factorization.

106541310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48732.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 106541310 is about 10321.8850022658. The cubic root of 106541310 is about 474.0665843189.

Adding to 106541310 its reverse (13145601), we get a palindrome (119686911).

The spelling of 106541310 in words is "one hundred six million, five hundred forty-one thousand, three hundred ten".