105070000 has 200 divisors, whose sum is σ = 309900800. Its totient is φ = 33696000.

The previous prime is 105069983. The next prime is 105070001. The reversal of 105070000 is 70501.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×105070000² = 22079409800000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105070001) 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 39 ways as a sum of consecutive naturals, for example, 1329961 + ... + 1330039.

It is an arithmetic number, because the mean of its divisors is an integer number (1549504).

Almost surely, 2^105070000 is an apocalyptic number.

105070000 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 105070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154950400).

105070000 is an abundant number, since it is smaller than the sum of its proper divisors (204830800).

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

105070000 is an equidigital number, since it uses as much as digits as its factorization.

105070000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 13.

The square root of 105070000 is about 10250.3658471296. The cubic root of 105070000 is about 471.8742123870.

The spelling of 105070000 in words is "one hundred five million, seventy thousand".