105166214420 has 48 divisors (see below), whose sum is σ = 227116361808. Its totient is φ = 40880701440.

The previous prime is 105166214393. The next prime is 105166214443. The reversal of 105166214420 is 24412661501.

It can be written as a sum of positive squares in 8 ways, for example, as 3295448836 + 101870765584 = 57406^2 + 319172^2 .

It is a super-2 number, since 2×105166214420² (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 15 ways as a sum of consecutive naturals, for example, 38777 + ... + 460256.

It is an arithmetic number, because the mean of its divisors is an integer number (4731590871).

Almost surely, 2^105166214420 is an apocalyptic number.

105166214420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105166214420 is an abundant number, since it is smaller than the sum of its proper divisors (121950147388).

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

105166214420 is a wasteful number, since it uses less digits than its factorization.

105166214420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499340 (or 499338 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 105166214420 its reverse (24412661501), we get a palindrome (129578875921).

The spelling of 105166214420 in words is "one hundred five billion, one hundred sixty-six million, two hundred fourteen thousand, four hundred twenty".