105599340 has 288 divisors, whose sum is σ = 421424640. Its totient is φ = 20736000.

The previous prime is 105599327. The next prime is 105599399. The reversal of 105599340 is 43995501.

105599340 is a `hidden beast` number, since 10 + 559 + 93 + 4 + 0 = 666.

It is a super-2 number, since 2×105599340² = 22302441216871200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105599295 and 105599304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263140 + ... + 263540.

It is an arithmetic number, because the mean of its divisors is an integer number (1463280).

Almost surely, 2^105599340 is an apocalyptic number.

105599340 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 105599340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210712320).

105599340 is an abundant number, since it is smaller than the sum of its proper divisors (315825300).

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

105599340 is a wasteful number, since it uses less digits than its factorization.

105599340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 105599340 is about 10276.1539498005. The cubic root of 105599340 is about 472.6653154635.

The spelling of 105599340 in words is "one hundred five million, five hundred ninety-nine thousand, three hundred forty".