105446640 has 80 divisors (see below), whose sum is σ = 352039968. Its totient is φ = 25955328.

The previous prime is 105446623. The next prime is 105446647. The reversal of 105446640 is 46644501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105446640² = 22237987774579200, 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 = 105446598 and 105446607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105446647) 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, 13779 + ... + 20018.

Almost surely, 2^105446640 is an apocalyptic number.

105446640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105446640 is an abundant number, since it is smaller than the sum of its proper divisors (246593328).

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

105446640 is a wasteful number, since it uses less digits than its factorization.

105446640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33826 (or 33820 counting only the distinct ones).

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

The square root of 105446640 is about 10268.7214394003. The cubic root of 105446640 is about 472.4373758721.

It can be divided in two parts, 10 and 5446640, that added together give a triangular number (5446650 = T₃₃₀₀).

The spelling of 105446640 in words is "one hundred five million, four hundred forty-six thousand, six hundred forty".