105970320 has 120 divisors (see below), whose sum is σ = 362729016. Its totient is φ = 27715584.

The previous prime is 105970309. The next prime is 105970343. The reversal of 105970320 is 23079501.

It can be written as a sum of positive squares in 4 ways, for example, as 6290064 + 99680256 = 2508^2 + 9984^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×105970320² = 22459417441804800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36772 + ... + 39548.

Almost surely, 2^105970320 is an apocalyptic number.

105970320 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 105970320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181364508).

105970320 is an abundant number, since it is smaller than the sum of its proper divisors (256758696).

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

105970320 is a wasteful number, since it uses less digits than its factorization.

105970320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2849 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 105970320 is about 10294.1886518560. The cubic root of 105970320 is about 473.2181738405.

The spelling of 105970320 in words is "one hundred five million, nine hundred seventy thousand, three hundred twenty".