105054160 has 40 divisors (see below), whose sum is σ = 249939360. Its totient is φ = 41043072.

The previous prime is 105054151. The next prime is 105054167. The reversal of 105054160 is 61450501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105054160² = 22072753066611200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105054167) 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, 11830 + ... + 18709.

It is an arithmetic number, because the mean of its divisors is an integer number (6248484).

Almost surely, 2^105054160 is an apocalyptic number.

105054160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105054160 is an abundant number, since it is smaller than the sum of its proper divisors (144885200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105054160 is a wasteful number, since it uses less digits than its factorization.

105054160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30595 (or 30589 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 105054160 is about 10249.5931626577. The cubic root of 105054160 is about 471.8504984720.

The spelling of 105054160 in words is "one hundred five million, fifty-four thousand, one hundred sixty".