105889140 has 192 divisors, whose sum is σ = 381427200. Its totient is φ = 23887872.

The previous prime is 105889127. The next prime is 105889169. The reversal of 105889140 is 41988501.

It is a super-2 number, since 2×105889140² = 22425019939879200, 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 = 105889095 and 105889104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 411892 + ... + 412148.

It is an arithmetic number, because the mean of its divisors is an integer number (1986600).

Almost surely, 2^105889140 is an apocalyptic number.

105889140 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 105889140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190713600).

105889140 is an abundant number, since it is smaller than the sum of its proper divisors (275538060).

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

105889140 is a wasteful number, since it uses less digits than its factorization.

105889140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 105889140 is about 10290.2448950450. The cubic root of 105889140 is about 473.0973045719.

The spelling of 105889140 in words is "one hundred five million, eight hundred eighty-nine thousand, one hundred forty".