105060640 has 48 divisors (see below), whose sum is σ = 249230520. Its totient is φ = 41850880.

The previous prime is 105060607. The next prime is 105060647. The reversal of 105060640 is 46060501.

It can be written as a sum of positive squares in 4 ways, for example, as 34433424 + 70627216 = 5868^2 + 8404^2 .

It is a super-2 number, since 2×105060640² = 22075476154419200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105060647) 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, 41820 + ... + 44260.

Almost surely, 2^105060640 is an apocalyptic number.

105060640 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 105060640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124615260).

105060640 is an abundant number, since it is smaller than the sum of its proper divisors (144169880).

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

105060640 is a wasteful number, since it uses less digits than its factorization.

105060640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 105060640 is about 10249.9092678911. The cubic root of 105060640 is about 471.8601999071.

The spelling of 105060640 in words is "one hundred five million, sixty thousand, six hundred forty".