105640380 has 288 divisors, whose sum is σ = 377395200. Its totient is φ = 23721984.

The previous prime is 105640369. The next prime is 105640411. The reversal of 105640380 is 83046501.

105640380 is a `hidden beast` number, since 10 + 5 + 640 + 3 + 8 + 0 = 666.

105640380 is a nontrivial binomial coefficient, being equal to C(14536, 2).

It is a super-2 number, since 2×105640380² = 22319779773088800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1337181 + ... + 1337259.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 2^105640380 is an apocalyptic number.

105640380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105640380 is the 14535-th triangular number and also the 7268-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105640380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

105640380 is an abundant number, since it is smaller than the sum of its proper divisors (271754820).

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

105640380 is a wasteful number, since it uses less digits than its factorization.

105640380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105640380 is about 10278.1506118562. The cubic root of 105640380 is about 472.7265395587.

Adding to 105640380 its reverse (83046501), we get a palindrome (188686881).

The spelling of 105640380 in words is "one hundred five million, six hundred forty thousand, three hundred eighty".