105142916382084 has 81 divisors (see below), whose sum is σ = 309171508583301. Its totient is φ = 30040710204960.

The previous prime is 105142916382079. The next prime is 105142916382103. The reversal of 105142916382084 is 480283619241501.

The square root of 105142916382084 is 10253922.

It is a perfect power (a square), and thus also a powerful number.

105142916382084 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 429 + 1 + 6 + 3 + 8 + 208 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49841086671684 + 55301829710400 = 7059822^2 + 7436520^2 .

It is a super-2 number, since 2×105142916382084² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105142916382084.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 430542654 + ... + 430786794.

Almost surely, 2^{105142916382084} is an apocalyptic number.

105142916382084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105142916382084 is the 10253922-nd square number.

It is an amenable number.

105142916382084 is an abundant number, since it is smaller than the sum of its proper divisors (204028592201217).

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

105142916382084 is an frugal number, since it uses more digits than its factorization.

105142916382084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488306 (or 244153 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 105142916382084 in words is "one hundred five trillion, one hundred forty-two billion, nine hundred sixteen million, three hundred eighty-two thousand, eighty-four".