105646440 has 64 divisors (see below), whose sum is σ = 317649600. Its totient is φ = 28109312.

The previous prime is 105646439. The next prime is 105646477. The reversal of 105646440 is 44646501.

It is a super-2 number, since 2×105646440² = 22322340569347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 105646398 and 105646407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81316 + ... + 82604.

It is an arithmetic number, because the mean of its divisors is an integer number (4963275).

Almost surely, 2^105646440 is an apocalyptic number.

105646440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105646440 is an abundant number, since it is smaller than the sum of its proper divisors (212003160).

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

105646440 is a wasteful number, since it uses less digits than its factorization.

105646440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 105646440 is about 10278.4454077453. The cubic root of 105646440 is about 472.7355786150.

The spelling of 105646440 in words is "one hundred five million, six hundred forty-six thousand, four hundred forty".