105034020 has 96 divisors (see below), whose sum is σ = 361982208. Its totient is φ = 22159872.

The previous prime is 105034003. The next prime is 105034037. The reversal of 105034020 is 20430501.

It is an interprime number because it is at equal distance from previous prime (105034003) and next prime (105034037).

It is a super-2 number, since 2×105034020² = 22064290714720800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4159 + ... + 15078.

It is an arithmetic number, because the mean of its divisors is an integer number (3770648).

Almost surely, 2^105034020 is an apocalyptic number.

105034020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105034020 is an abundant number, since it is smaller than the sum of its proper divisors (256948188).

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

105034020 is a wasteful number, since it uses less digits than its factorization.

105034020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19269 (or 19267 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 105034020 is about 10248.6106375450. The cubic root of 105034020 is about 471.8203436249.

Adding to 105034020 its reverse (20430501), we get a palindrome (125464521).

The spelling of 105034020 in words is "one hundred five million, thirty-four thousand, twenty".