105240214131198 has 32 divisors (see below), whose sum is σ = 216190926057120. Its totient is φ = 34128513302400.

The previous prime is 105240214131181. The next prime is 105240214131211. The reversal of 105240214131198 is 891131412042501.

It is a super-2 number, since 2×105240214131198² (a number of 29 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, 21741733 + ... + 26137776.

It is an arithmetic number, because the mean of its divisors is an integer number (6755966439285).

Almost surely, 2^{105240214131198} is an apocalyptic number.

105240214131198 is an abundant number, since it is smaller than the sum of its proper divisors (110950711925922).

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

105240214131198 is a wasteful number, since it uses less digits than its factorization.

105240214131198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47889452.

The product of its (nonzero) digits is 69120, while the sum is 42.

Adding to 105240214131198 its reverse (891131412042501), we get a palindrome (996371626173699).

The spelling of 105240214131198 in words is "one hundred five trillion, two hundred forty billion, two hundred fourteen million, one hundred thirty-one thousand, one hundred ninety-eight".