105240214131240 has 64 divisors (see below), whose sum is σ = 315724894732800. Its totient is φ = 28063679116032.

The previous prime is 105240214131211. The next prime is 105240214131271. The reversal of 105240214131240 is 42131412042501.

It is a super-2 number, since 2×105240214131240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 105240214131198 and 105240214131207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3097614 + ... + 14834946.

It is an arithmetic number, because the mean of its divisors is an integer number (4933201480200).

Almost surely, 2^{105240214131240} is an apocalyptic number.

105240214131240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105240214131240 is an abundant number, since it is smaller than the sum of its proper divisors (210484680601560).

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

105240214131240 is a wasteful number, since it uses less digits than its factorization.

105240214131240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11812066 (or 11812062 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 105240214131240 its reverse (42131412042501), we get a palindrome (147371626173741).

The spelling of 105240214131240 in words is "one hundred five trillion, two hundred forty billion, two hundred fourteen million, one hundred thirty-one thousand, two hundred forty".