105071000 has 32 divisors (see below), whose sum is σ = 245868480. Its totient is φ = 42028000.

The previous prime is 105070993. The next prime is 105071003. The reversal of 105071000 is 170501.

It is a super-2 number, since 2×105071000² = 22079830082000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105071003) 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, 51536 + ... + 53535.

It is an arithmetic number, because the mean of its divisors is an integer number (7683390).

Almost surely, 2^105071000 is an apocalyptic number.

105071000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105071000 is an abundant number, since it is smaller than the sum of its proper divisors (140797480).

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

105071000 is a wasteful number, since it uses less digits than its factorization.

105071000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105092 (or 105078 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 105071000 is about 10250.4146257603. The cubic root of 105071000 is about 471.8757093976.

The spelling of 105071000 in words is "one hundred five million, seventy-one thousand".