105019000 has 32 divisors (see below), whose sum is σ = 245746800. Its totient is φ = 42007200.

The previous prime is 105018971. The next prime is 105019037. The reversal of 105019000 is 910501.

It is a super-2 number, since 2×105019000² = 22057980722000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51510 + ... + 53509.

Almost surely, 2^105019000 is an apocalyptic number.

105019000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105019000 is an abundant number, since it is smaller than the sum of its proper divisors (140727800).

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

105019000 is a wasteful number, since it uses less digits than its factorization.

105019000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105040 (or 105026 counting only the distinct ones).

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

The square root of 105019000 is about 10247.8778290922. The cubic root of 105019000 is about 471.7978522474.

Adding to 105019000 its reverse (910501), we get a palindrome (105929501).

The spelling of 105019000 in words is "one hundred five million, nineteen thousand".