105112474420 has 24 divisors (see below), whose sum is σ = 221856692904. Its totient is φ = 41831561856.

The previous prime is 105112474403. The next prime is 105112474421. The reversal of 105112474420 is 24474211501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 47533592484 + 57578881936 = 218022^2 + 239956^2 .

It is a super-3 number, since 3×105112474420³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105112474421) 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, 13335207 + ... + 13343086.

It is an arithmetic number, because the mean of its divisors is an integer number (9244028871).

Almost surely, 2^105112474420 is an apocalyptic number.

105112474420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105112474420 is an abundant number, since it is smaller than the sum of its proper divisors (116744218484).

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

105112474420 is a wasteful number, since it uses less digits than its factorization.

105112474420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26678499 (or 26678497 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

Adding to 105112474420 its reverse (24474211501), we get a palindrome (129586685921).

The spelling of 105112474420 in words is "one hundred five billion, one hundred twelve million, four hundred seventy-four thousand, four hundred twenty".