105140412020 has 48 divisors (see below), whose sum is σ = 254323937280. Its totient is φ = 35764291584.

The previous prime is 105140412017. The next prime is 105140412101. The reversal of 105140412020 is 20214041501.

It is a happy number.

It is a super-2 number, since 2×105140412020² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 105140411983 and 105140412001.

It is a congruent number.

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, 2938925 + ... + 2974484.

It is an arithmetic number, because the mean of its divisors is an integer number (5298415360).

Almost surely, 2^105140412020 is an apocalyptic number.

105140412020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105140412020 is an abundant number, since it is smaller than the sum of its proper divisors (149183525260).

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

105140412020 is a wasteful number, since it uses less digits than its factorization.

105140412020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5913552 (or 5913550 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 105140412020 its reverse (20214041501), we get a palindrome (125354453521).

The spelling of 105140412020 in words is "one hundred five billion, one hundred forty million, four hundred twelve thousand, twenty".