105378580 has 24 divisors (see below), whose sum is σ = 234313128. Its totient is φ = 39671808.

The previous prime is 105378527. The next prime is 105378589. The reversal of 105378580 is 85873501.

It can be written as a sum of positive squares in 4 ways, for example, as 22240656 + 83137924 = 4716^2 + 9118^2 .

It is a super-3 number, since 3×105378580³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105378589) 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, 154629 + ... + 155308.

It is an arithmetic number, because the mean of its divisors is an integer number (9763047).

Almost surely, 2^105378580 is an apocalyptic number.

105378580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105378580 is an abundant number, since it is smaller than the sum of its proper divisors (128934548).

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

105378580 is a wasteful number, since it uses less digits than its factorization.

105378580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309963 (or 309961 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

The square root of 105378580 is about 10265.4069573495. The cubic root of 105378580 is about 472.3357098914.

The spelling of 105378580 in words is "one hundred five million, three hundred seventy-eight thousand, five hundred eighty".