101604105 has 32 divisors (see below), whose sum is σ = 182515200. Its totient is φ = 53623296.

The previous prime is 101604089. The next prime is 101604119. The reversal of 101604105 is 501406101.

101604105 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 101604105 - 2⁴ = 101604089 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9216 + ... + 16974.

It is an arithmetic number, because the mean of its divisors is an integer number (5703600).

Almost surely, 2^101604105 is an apocalyptic number.

101604105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101604105 is a deficient number, since it is larger than the sum of its proper divisors (80911095).

101604105 is an equidigital number, since it uses as much as digits as its factorization.

101604105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7870 (or 7864 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 101604105 is about 10079.8861600715. The cubic root of 101604105 is about 466.6275950848.

The spelling of 101604105 in words is "one hundred one million, six hundred four thousand, one hundred five".