106811541 has 10 divisors (see below), whose sum is σ = 159558102. Its totient is φ = 71207640.

The previous prime is 106811533. The next prime is 106811543. The reversal of 106811541 is 145118601.

106811541 is a `hidden beast` number, since 106 + 8 + 11 + 541 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80030916 + 26780625 = 8946^2 + 5175^2 .

It is not a de Polignac number, because 106811541 - 2³ = 106811533 is a prime.

It is a super-2 number, since 2×106811541² = 22817410581589362, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106811543) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 659250 + ... + 659411.

Almost surely, 2^106811541 is an apocalyptic number.

It is an amenable number.

106811541 is a deficient number, since it is larger than the sum of its proper divisors (52746561).

106811541 is an equidigital number, since it uses as much as digits as its factorization.

106811541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318673 (or 1318664 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 106811541 is about 10334.9669085102. The cubic root of 106811541 is about 474.4670528603.

The spelling of 106811541 in words is "one hundred six million, eight hundred eleven thousand, five hundred forty-one".