106768541 has 8 divisors (see below), whose sum is σ = 117314400. Its totient is φ = 96362640.

The previous prime is 106768499. The next prime is 106768549. The reversal of 106768541 is 145867601.

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

It is a de Polignac number, because none of the positive numbers 2^k-106768541 is a prime.

It is a super-2 number, since 2×106768541² = 22799042694537362, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106768495 and 106768504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106768549) 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, 33386 + ... + 36443.

It is an arithmetic number, because the mean of its divisors is an integer number (14664300).

Almost surely, 2^106768541 is an apocalyptic number.

106768541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106768541 is a deficient number, since it is larger than the sum of its proper divisors (10545859).

106768541 is a wasteful number, since it uses less digits than its factorization.

106768541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69979.

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 106768541 is about 10332.8863828071. The cubic root of 106768541 is about 474.4033742806.

The spelling of 106768541 in words is "one hundred six million, seven hundred sixty-eight thousand, five hundred forty-one".