106953 has 16 divisors (see below), whose sum is σ = 178176. Its totient is φ = 55440.

The previous prime is 106949. The next prime is 106957. The reversal of 106953 is 359601.

106953 is a nontrivial binomial coefficient, being equal to C(463, 2).

It is an interprime number because it is at equal distance from previous prime (106949) and next prime (106957).

It is not a de Polignac number, because 106953 - 2² = 106949 is a prime.

It is a super-2 number, since 2×106953² = 22877888418, which contains 22 as substring.

It is an Ulam number.

106953 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106953.

It is not an unprimeable number, because it can be changed into a prime (106957) 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, 1 + ... + 462.

It is an arithmetic number, because the mean of its divisors is an integer number (11136).

2¹⁰⁶⁹⁵³ is an apocalyptic number.

106953 is the 462-nd triangular number.

It is an amenable number.

106953 is a deficient number, since it is larger than the sum of its proper divisors (71223).

106953 is a wasteful number, since it uses less digits than its factorization.

106953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484.

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 106953 is about 327.0366951888. The cubic root of 106953 is about 47.4676418584.

Subtracting from 106953 its sum of digits (24), we obtain a square (106929 = 327²).

The spelling of 106953 in words is "one hundred six thousand, nine hundred fifty-three".