105402114420 has 96 divisors (see below), whose sum is σ = 304501317120. Its totient is φ = 27227765760.

The previous prime is 105402114407. The next prime is 105402114491. The reversal of 105402114420 is 24411204501.

It is a super-2 number, since 2×105402114420² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 41440 + ... + 461000.

It is an arithmetic number, because the mean of its divisors is an integer number (3171888720).

Almost surely, 2^105402114420 is an apocalyptic number.

105402114420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105402114420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152250658560).

105402114420 is an abundant number, since it is smaller than the sum of its proper divisors (199099202700).

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

105402114420 is a wasteful number, since it uses less digits than its factorization.

105402114420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419705 (or 419703 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 105402114420 its reverse (24411204501), we get a palindrome (129813318921).

The spelling of 105402114420 in words is "one hundred five billion, four hundred two million, one hundred fourteen thousand, four hundred twenty".