106757124 has 48 divisors (see below), whose sum is σ = 265574400. Its totient is φ = 33280416.

The previous prime is 106757083. The next prime is 106757129. The reversal of 106757124 is 421757601.

It is a super-2 number, since 2×106757124² = 22794167049502752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106757129) 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, 15049 + ... + 20975.

It is an arithmetic number, because the mean of its divisors is an integer number (5532800).

Almost surely, 2^106757124 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 106757124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132787200).

106757124 is an abundant number, since it is smaller than the sum of its proper divisors (158817276).

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

106757124 is a wasteful number, since it uses less digits than its factorization.

106757124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6032 (or 6030 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 106757124 is about 10332.3339086578. Note that the first 3 decimals coincide. The cubic root of 106757124 is about 474.3864640049.

The spelling of 106757124 in words is "one hundred six million, seven hundred fifty-seven thousand, one hundred twenty-four".