105570920 has 192 divisors, whose sum is σ = 309899520. Its totient is φ = 31629312.

The previous prime is 105570911. The next prime is 105570923. The reversal of 105570920 is 29075501.

It is a super-2 number, since 2×105570920² = 22290438299292800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105570923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088312 + ... + 1088408.

It is an arithmetic number, because the mean of its divisors is an integer number (1614060).

Almost surely, 2^105570920 is an apocalyptic number.

105570920 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 105570920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154949760).

105570920 is an abundant number, since it is smaller than the sum of its proper divisors (204328600).

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

105570920 is a wasteful number, since it uses less digits than its factorization.

105570920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 29.

The square root of 105570920 is about 10274.7710436778. The cubic root of 105570920 is about 472.6229087795.

The spelling of 105570920 in words is "one hundred five million, five hundred seventy thousand, nine hundred twenty".