106750 has 32 divisors (see below), whose sum is σ = 232128. Its totient is φ = 36000.

The previous prime is 106747. The next prime is 106751. The reversal of 106750 is 57601.

It is a super-2 number, since 2×106750² = 22791125000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1720 + ... + 1780.

It is an arithmetic number, because the mean of its divisors is an integer number (7254).

2¹⁰⁶⁷⁵⁰ is an apocalyptic number.

106750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106750 is the 175-th nonagonal number.

106750 is an abundant number, since it is smaller than the sum of its proper divisors (125378).

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

106750 is an equidigital number, since it uses as much as digits as its factorization.

106750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 106750 is about 326.7261850541. The cubic root of 106750 is about 47.4375911690.

The spelling of 106750 in words is "one hundred six thousand, seven hundred fifty".