106775700 has 72 divisors (see below), whose sum is σ = 311042592. Its totient is φ = 28279680.

The previous prime is 106775677. The next prime is 106775707. The reversal of 106775700 is 7577601.

It is a super-2 number, since 2×106775700² = 22802100220980000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106775707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45967 + ... + 48233.

It is an arithmetic number, because the mean of its divisors is an integer number (4320036).

Almost surely, 2^106775700 is an apocalyptic number.

106775700 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 106775700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155521296).

106775700 is an abundant number, since it is smaller than the sum of its proper divisors (204266892).

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

106775700 is a wasteful number, since it uses less digits than its factorization.

106775700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 10290, while the sum is 33.

The square root of 106775700 is about 10333.2327952098. The cubic root of 106775700 is about 474.4139772098.

It can be divided in two parts, 1067 and 75700, that added together give a palindrome (76767).

The spelling of 106775700 in words is "one hundred six million, seven hundred seventy-five thousand, seven hundred".