105414402420 has 36 divisors (see below), whose sum is σ = 319757021220. Its totient is φ = 28110507264.

The previous prime is 105414402419. The next prime is 105414402427. The reversal of 105414402420 is 24204414501.

105414402420 is a `hidden beast` number, since 1 + 0 + 5 + 414 + 4 + 0 + 242 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19281544164 + 86132858256 = 138858^2 + 293484^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105414402420² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105414402427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292817605 + ... + 292817964.

Almost surely, 2^105414402420 is an apocalyptic number.

105414402420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105414402420 is an abundant number, since it is smaller than the sum of its proper divisors (214342618800).

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

105414402420 is a wasteful number, since it uses less digits than its factorization.

105414402420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585635584 (or 585635579 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 105414402420 its reverse (24204414501), we get a palindrome (129618816921).

The spelling of 105414402420 in words is "one hundred five billion, four hundred fourteen million, four hundred two thousand, four hundred twenty".