105707970 has 128 divisors (see below), whose sum is σ = 293932800. Its totient is φ = 27016704.

The previous prime is 105707969. The next prime is 105707983. The reversal of 105707970 is 79707501.

105707970 is a `hidden beast` number, since 10 + 570 + 7 + 9 + 70 = 666.

It is a super-2 number, since 2×105707970² = 22348349843041800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1187686 + ... + 1187774.

It is an arithmetic number, because the mean of its divisors is an integer number (2296350).

Almost surely, 2^105707970 is an apocalyptic number.

105707970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105707970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146966400).

105707970 is an abundant number, since it is smaller than the sum of its proper divisors (188224830).

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

105707970 is a wasteful number, since it uses less digits than its factorization.

105707970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 15435, while the sum is 36.

The square root of 105707970 is about 10281.4381289779. The cubic root of 105707970 is about 472.8273367945.

The spelling of 105707970 in words is "one hundred five million, seven hundred seven thousand, nine hundred seventy".