105154311424264 has 32 divisors (see below), whose sum is σ = 202502669201280. Its totient is φ = 51153733946304.

The previous prime is 105154311424247. The next prime is 105154311424273. The reversal of 105154311424264 is 462424113451501.

It is a super-2 number, since 2×105154311424264² (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 105154311424264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2112352 + ... + 14655055.

It is an arithmetic number, because the mean of its divisors is an integer number (6328208412540).

Almost surely, 2^{105154311424264} is an apocalyptic number.

It is an amenable number.

105154311424264 is a deficient number, since it is larger than the sum of its proper divisors (97348357777016).

105154311424264 is a wasteful number, since it uses less digits than its factorization.

105154311424264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16788637 (or 16788633 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

Adding to 105154311424264 its reverse (462424113451501), we get a palindrome (567578424875765).

The spelling of 105154311424264 in words is "one hundred five trillion, one hundred fifty-four billion, three hundred eleven million, four hundred twenty-four thousand, two hundred sixty-four".