105109000 has 64 divisors (see below), whose sum is σ = 248929200. Its totient is φ = 41536000.

The previous prime is 105108973. The next prime is 105109013. The reversal of 105109000 is 901501.

It can be written as a sum of positive squares in 8 ways, for example, as 6980164 + 98128836 = 2642^2 + 9906^2 .

It is a super-2 number, since 2×105109000² = 22095803762000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88410 + ... + 89590.

Almost surely, 2^105109000 is an apocalyptic number.

105109000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105109000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124464600).

105109000 is an abundant number, since it is smaller than the sum of its proper divisors (143820200).

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

105109000 is a wasteful number, since it uses less digits than its factorization.

105109000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 16.

The square root of 105109000 is about 10252.2680417554. The cubic root of 105109000 is about 471.9325887640.

The spelling of 105109000 in words is "one hundred five million, one hundred nine thousand".