106250 has 24 divisors (see below), whose sum is σ = 210924. Its totient is φ = 40000.

The previous prime is 106243. The next prime is 106261. The reversal of 106250 is 52601.

It can be written as a sum of positive squares in 6 ways, for example, as 4489 + 101761 = 67^2 + 319^2 .

It is a super-2 number, since 2×106250² = 22578125000, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

106250 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6242 + ... + 6258.

2¹⁰⁶²⁵⁰ is an apocalyptic number.

106250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106250 is a deficient number, since it is larger than the sum of its proper divisors (104674).

106250 is an frugal number, since it uses more digits than its factorization.

106250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 106250 is about 325.9601202601. The cubic root of 106250 is about 47.3634118593.

Adding to 106250 its reverse (52601), we get a palindrome (158851).

It can be divided in two parts, 10 and 6250, that multiplied together give a square (62500 = 250²).

The spelling of 106250 in words is "one hundred six thousand, two hundred fifty".