106709473 has 12 divisors (see below), whose sum is σ = 119539260. Its totient is φ = 95100096.

The previous prime is 106709467. The next prime is 106709501. The reversal of 106709473 is 374907601.

It can be written as a sum of positive squares in 6 ways, for example, as 32353344 + 74356129 = 5688^2 + 8623^2 .

It is not a de Polignac number, because 106709473 - 2⁵ = 106709441 is a prime.

It is a super-2 number, since 2×106709473² = 22773823255875458, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106709413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5986 + ... + 15787.

It is an arithmetic number, because the mean of its divisors is an integer number (9961605).

Almost surely, 2^106709473 is an apocalyptic number.

106709473 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106709473 is a deficient number, since it is larger than the sum of its proper divisors (12829787).

106709473 is a wasteful number, since it uses less digits than its factorization.

106709473 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21828 (or 21815 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 106709473 is about 10330.0277347159. The cubic root of 106709473 is about 474.3158727643.

The spelling of 106709473 in words is "one hundred six million, seven hundred nine thousand, four hundred seventy-three".