105644840 has 64 divisors (see below), whose sum is σ = 272764800. Its totient is φ = 36073728.

The previous prime is 105644839. The next prime is 105644843. The reversal of 105644840 is 48446501.

It is a super-2 number, since 2×105644840² = 22321664437251200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105644797 and 105644806.

It is not an unprimeable number, because it can be changed into a prime (105644843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85346 + ... + 86574.

It is an arithmetic number, because the mean of its divisors is an integer number (4261950).

Almost surely, 2^105644840 is an apocalyptic number.

105644840 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 105644840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136382400).

105644840 is an abundant number, since it is smaller than the sum of its proper divisors (167119960).

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

105644840 is a wasteful number, since it uses less digits than its factorization.

105644840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 105644840 is about 10278.3675746687. The cubic root of 105644840 is about 472.7331920991.

The spelling of 105644840 in words is "one hundred five million, six hundred forty-four thousand, eight hundred forty".