105071040 has 112 divisors (see below), whose sum is σ = 370697760. Its totient is φ = 28016640.

The previous prime is 105071023. The next prime is 105071051. The reversal of 105071040 is 40170501.

It is a super-2 number, since 2×105071040² = 22079846893363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2560 + ... + 14720.

Almost surely, 2^105071040 is an apocalyptic number.

105071040 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 105071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185348880).

105071040 is an abundant number, since it is smaller than the sum of its proper divisors (265626720).

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

105071040 is a wasteful number, since it uses less digits than its factorization.

105071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12187 (or 12171 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 105071040 is about 10250.4165769007. The cubic root of 105071040 is about 471.8757692779.

The spelling of 105071040 in words is "one hundred five million, seventy-one thousand, forty".