105981760 has 56 divisors (see below), whose sum is σ = 253654560. Its totient is φ = 42177024.

The previous prime is 105981749. The next prime is 105981767. The reversal of 105981760 is 67189501.

It is a super-2 number, since 2×105981760² = 22464266905395200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105981767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71911 + ... + 73369.

Almost surely, 2^105981760 is an apocalyptic number.

105981760 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 105981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126827280).

105981760 is an abundant number, since it is smaller than the sum of its proper divisors (147672800).

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

105981760 is a wasteful number, since it uses less digits than its factorization.

105981760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 37.

The square root of 105981760 is about 10294.7442901706. The cubic root of 105981760 is about 473.2352019452.

The spelling of 105981760 in words is "one hundred five million, nine hundred eighty-one thousand, seven hundred sixty".