106775600 has 60 divisors (see below), whose sum is σ = 258178416. Its totient is φ = 42435840.

The previous prime is 106775569. The next prime is 106775653. The reversal of 106775600 is 6577601.

It is a super-2 number, since 2×106775600² = 22802057510720000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68429 + ... + 69971.

Almost surely, 2^106775600 is an apocalyptic number.

106775600 is a gapful number since it is divisible by the number (10) 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 106775600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129089208).

106775600 is an abundant number, since it is smaller than the sum of its proper divisors (151402816).

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

106775600 is a wasteful number, since it uses less digits than its factorization.

106775600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 106775600 is about 10333.2279564519. The cubic root of 106775600 is about 474.4138291068.

It can be divided in two parts, 1067 and 75600, that added together give a palindrome (76667).

The spelling of 106775600 in words is "one hundred six million, seven hundred seventy-five thousand, six hundred".