106864541 has 12 divisors (see below), whose sum is σ = 124488000. Its totient is φ = 91468440.

The previous prime is 106864529. The next prime is 106864543. The reversal of 106864541 is 145468601.

It is not a de Polignac number, because 106864541 - 2⁶ = 106864477 is a prime.

It is a super-2 number, since 2×106864541² = 22840060246281362, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106864543) 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, 52460 + ... + 54458.

It is an arithmetic number, because the mean of its divisors is an integer number (10374000).

Almost surely, 2^106864541 is an apocalyptic number.

It is an amenable number.

106864541 is a deficient number, since it is larger than the sum of its proper divisors (17623459).

106864541 is a wasteful number, since it uses less digits than its factorization.

106864541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 106864541 is about 10337.5307012845. The cubic root of 106864541 is about 474.5455169022.

The spelling of 106864541 in words is "one hundred six million, eight hundred sixty-four thousand, five hundred forty-one".