105214253144 has 96 divisors (see below), whose sum is σ = 269605098000. Its totient is φ = 37839271680.

The previous prime is 105214253101. The next prime is 105214253153. The reversal of 105214253144 is 441352412501.

It is a super-2 number, since 2×105214253144² (a number of 23 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 105214253144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 882419 + ... + 994530.

Almost surely, 2^105214253144 is an apocalyptic number.

105214253144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105214253144 is an abundant number, since it is smaller than the sum of its proper divisors (164390844856).

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

105214253144 is a wasteful number, since it uses less digits than its factorization.

105214253144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876993 (or 1876982 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 105214253144 its reverse (441352412501), we get a palindrome (546566665645).

The spelling of 105214253144 in words is "one hundred five billion, two hundred fourteen million, two hundred fifty-three thousand, one hundred forty-four".