105214253298 has 128 divisors (see below), whose sum is σ = 271167160320. Its totient is φ = 26424217920.

The previous prime is 105214253297. The next prime is 105214253299. The reversal of 105214253298 is 892352412501.

It is an interprime number because it is at equal distance from previous prime (105214253297) and next prime (105214253299).

It is a super-2 number, since 2×105214253298² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105214253297) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1773073 + ... + 1831451.

It is an arithmetic number, because the mean of its divisors is an integer number (2118493440).

Almost surely, 2^105214253298 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105214253298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135583580160).

105214253298 is an abundant number, since it is smaller than the sum of its proper divisors (165952907022).

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

105214253298 is a wasteful number, since it uses less digits than its factorization.

105214253298 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58532.

The product of its (nonzero) digits is 172800, while the sum is 42.

Adding to 105214253298 its reverse (892352412501), we get a palindrome (997566665799).

The spelling of 105214253298 in words is "one hundred five billion, two hundred fourteen million, two hundred fifty-three thousand, two hundred ninety-eight".