106757536 has 48 divisors (see below), whose sum is σ = 222433344. Its totient is φ = 50333184.

The previous prime is 106757527. The next prime is 106757537. The reversal of 106757536 is 635757601.

It is a happy number.

It is a super-2 number, since 2×106757536² = 22794342985582592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106757537) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52735 + ... + 54721.

It is an arithmetic number, because the mean of its divisors is an integer number (4634028).

Almost surely, 2^106757536 is an apocalyptic number.

106757536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106757536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111216672).

106757536 is an abundant number, since it is smaller than the sum of its proper divisors (115675808).

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

106757536 is a wasteful number, since it uses less digits than its factorization.

106757536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 40.

The square root of 106757536 is about 10332.3538460508. The cubic root of 106757536 is about 474.3870742592.

The spelling of 106757536 in words is "one hundred six million, seven hundred fifty-seven thousand, five hundred thirty-six".