106954 has 8 divisors (see below), whose sum is σ = 163620. Its totient is φ = 52416.

The previous prime is 106949. The next prime is 106957. The reversal of 106954 is 459601.

It can be written as a sum of positive squares in 2 ways, for example, as 106929 + 25 = 327^2 + 5^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×106954² = 22878316232, which contains 22 as substring.

It is a pancake number, because a pancake can be divided into 106954 parts by 462 straight cuts.

106954 is a modest number, since divided by 954 gives 106 as remainder.

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 3 ways as a sum of consecutive naturals, for example, 399 + ... + 610.

2¹⁰⁶⁹⁵⁴ is an apocalyptic number.

106954 is a deficient number, since it is larger than the sum of its proper divisors (56666).

106954 is a wasteful number, since it uses less digits than its factorization.

106954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 106954 is about 327.0382240656. The cubic root of 106954 is about 47.4677897972.

Subtracting from 106954 its sum of digits (25), we obtain a square (106929 = 327²).

It can be divided in two parts, 106 and 954, that multiplied together give a square (101124 = 318²).

The spelling of 106954 in words is "one hundred six thousand, nine hundred fifty-four".