106643953 has 8 divisors (see below), whose sum is σ = 117951848. Its totient is φ = 95779584.

The previous prime is 106643909. The next prime is 106643989. The reversal of 106643953 is 359346601.

It can be written as a sum of positive squares in 4 ways, for example, as 24324624 + 82319329 = 4932^2 + 9073^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 106643953 - 2¹³ = 106635761 is a prime.

It is a super-2 number, since 2×106643953² = 22745865422932418, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106643753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110376 + ... + 111337.

It is an arithmetic number, because the mean of its divisors is an integer number (14743981).

Almost surely, 2^106643953 is an apocalyptic number.

106643953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106643953 is a deficient number, since it is larger than the sum of its proper divisors (11307895).

106643953 is a wasteful number, since it uses less digits than its factorization.

106643953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221763.

The product of its (nonzero) digits is 58320, while the sum is 37.

The square root of 106643953 is about 10326.8559106826. The cubic root of 106643953 is about 474.2187756720.

The spelling of 106643953 in words is "one hundred six million, six hundred forty-three thousand, nine hundred fifty-three".