106889536 has 28 divisors (see below), whose sum is σ = 228426772. Its totient is φ = 49333248.

The previous prime is 106889527. The next prime is 106889537. The reversal of 106889536 is 635988601.

It can be written as a sum of positive squares in 2 ways, for example, as 64899136 + 41990400 = 8056^2 + 6480^2 .

It is a super-2 number, since 2×106889536² = 22850745812590592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106889537) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63405 + ... + 65068.

It is an arithmetic number, because the mean of its divisors is an integer number (8158099).

Almost surely, 2^106889536 is an apocalyptic number.

106889536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106889536 is an abundant number, since it is smaller than the sum of its proper divisors (121537236).

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

106889536 is a wasteful number, since it uses less digits than its factorization.

106889536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128498 (or 128488 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The square root of 106889536 is about 10338.7395750159. The cubic root of 106889536 is about 474.5825118381.

The spelling of 106889536 in words is "one hundred six million, eight hundred eighty-nine thousand, five hundred thirty-six".