106755000 has 160 divisors (see below), whose sum is σ = 364383360. Its totient is φ = 25840000.

The previous prime is 106754993. The next prime is 106755007. The reversal of 106755000 is 557601.

It is an interprime number because it is at equal distance from previous prime (106754993) and next prime (106755007).

It is a super-2 number, since 2×106755000² = 22793260050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106755007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 164677 + ... + 165323.

It is an arithmetic number, because the mean of its divisors is an integer number (2277396).

Almost surely, 2^106755000 is an apocalyptic number.

106755000 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 106755000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182191680).

106755000 is an abundant number, since it is smaller than the sum of its proper divisors (257628360).

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

106755000 is a wasteful number, since it uses less digits than its factorization.

106755000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 106755000 is about 10332.2311240119. The cubic root of 106755000 is about 474.3833179119.

The spelling of 106755000 in words is "one hundred six million, seven hundred fifty-five thousand".