105482640 has 40 divisors (see below), whose sum is σ = 326996928. Its totient is φ = 28128640.

The previous prime is 105482581. The next prime is 105482647. The reversal of 105482640 is 46284501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105482640² = 22253174682739200, 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 = 105482598 and 105482607.

It is not an unprimeable number, because it can be changed into a prime (105482647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219516 + ... + 219995.

Almost surely, 2^105482640 is an apocalyptic number.

105482640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105482640 is an abundant number, since it is smaller than the sum of its proper divisors (221514288).

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

105482640 is a wasteful number, since it uses less digits than its factorization.

105482640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439527 (or 439521 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 105482640 is about 10270.4741857424. The cubic root of 105482640 is about 472.4911339004.

The spelling of 105482640 in words is "one hundred five million, four hundred eighty-two thousand, six hundred forty".