106105601 has 16 divisors (see below), whose sum is σ = 126849024. Its totient is φ = 86778384.

The previous prime is 106105589. The next prime is 106105607. The reversal of 106105601 is 106501601.

106105601 = T₁₁₈ + T₁₁₉ + ... + T₈₆₀.

It is a happy number.

It is not a de Polignac number, because 106105601 - 2⁶ = 106105537 is a prime.

It is a super-2 number, since 2×106105601² = 22516797127142402, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106105607) 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, 119180 + ... + 120066.

It is an arithmetic number, because the mean of its divisors is an integer number (7928064).

Almost surely, 2^106105601 is an apocalyptic number.

It is an amenable number.

106105601 is a deficient number, since it is larger than the sum of its proper divisors (20743423).

106105601 is an equidigital number, since it uses as much as digits as its factorization.

106105601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660.

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 106105601 is about 10300.7573022570. The cubic root of 106105601 is about 473.4194572617.

The spelling of 106105601 in words is "one hundred six million, one hundred five thousand, six hundred one".