105970560 has 128 divisors (see below), whose sum is σ = 341863200. Its totient is φ = 27918336.

The previous prime is 105970559. The next prime is 105970561. The reversal of 105970560 is 65079501.

105970560 = T₂₂₅ + T₂₂₆ + ... + T₈₆₄.

It is an interprime number because it is at equal distance from previous prime (105970559) and next prime (105970561).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105970560² = 22459519173427200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105970561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185956 + ... + 186524.

Almost surely, 2^105970560 is an apocalyptic number.

105970560 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 105970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170931600).

105970560 is an abundant number, since it is smaller than the sum of its proper divisors (235892640).

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

105970560 is an equidigital number, since it uses as much as digits as its factorization.

105970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 105970560 is about 10294.2003089118. The cubic root of 105970560 is about 473.2185310860.

The spelling of 105970560 in words is "one hundred five million, nine hundred seventy thousand, five hundred sixty".