105050000 has 120 divisors (see below), whose sum is σ = 278982144. Its totient is φ = 38000000.

The previous prime is 105049981. The next prime is 105050003. The reversal of 105050000 is 50501.

105050000 = T₂₉₆ + T₂₉₇ + ... + T₈₆₈.

It is a super-2 number, since 2×105050000² = 22071005000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105050003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 549905 + ... + 550095.

Almost surely, 2^105050000 is an apocalyptic number.

105050000 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 105050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139491072).

105050000 is an abundant number, since it is smaller than the sum of its proper divisors (173932144).

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

105050000 is an equidigital number, since it uses as much as digits as its factorization.

105050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 11.

The square root of 105050000 is about 10249.3902257647. The cubic root of 105050000 is about 471.8442701799.

The spelling of 105050000 in words is "one hundred five million, fifty thousand".