105029840 has 20 divisors (see below), whose sum is σ = 244194564. Its totient is φ = 42011904.

The previous prime is 105029833. The next prime is 105029843. The reversal of 105029840 is 48920501.

It can be written as a sum of positive squares in 2 ways, for example, as 53993104 + 51036736 = 7348^2 + 7144^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×105029840² = 22062534580851200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105029843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 656357 + ... + 656516.

Almost surely, 2^105029840 is an apocalyptic number.

105029840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105029840 is an abundant number, since it is smaller than the sum of its proper divisors (139164724).

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

105029840 is a wasteful number, since it uses less digits than its factorization.

105029840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312886 (or 1312880 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 105029840 is about 10248.4067054348. The cubic root of 105029840 is about 471.8140845887.

The spelling of 105029840 in words is "one hundred five million, twenty-nine thousand, eight hundred forty".