106555541 has 16 divisors (see below), whose sum is σ = 117307440. Its totient is φ = 96452608.

The previous prime is 106555487. The next prime is 106555549. The reversal of 106555541 is 145555601.

It can be written as a sum of positive squares in 8 ways, for example, as 1575025 + 104980516 = 1255^2 + 10246^2 .

It is a de Polignac number, because none of the positive numbers 2^k-106555541 is a prime.

It is a super-2 number, since 2×106555541² = 22708166635605362, 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 = 106555498 and 106555507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106555549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414485 + ... + 414741.

It is an arithmetic number, because the mean of its divisors is an integer number (7331715).

Almost surely, 2^106555541 is an apocalyptic number.

It is an amenable number.

106555541 is a deficient number, since it is larger than the sum of its proper divisors (10751899).

106555541 is an frugal number, since it uses more digits than its factorization.

106555541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 32.

The square root of 106555541 is about 10322.5743397662. The cubic root of 106555541 is about 474.0876908149.

The spelling of 106555541 in words is "one hundred six million, five hundred fifty-five thousand, five hundred forty-one".