105487157414331 has 48 divisors (see below), whose sum is σ = 190021595512320. Its totient is φ = 54783124882560.

The previous prime is 105487157414293. The next prime is 105487157414357. The reversal of 105487157414331 is 133414751784501.

105487157414331 is a `hidden beast` number, since 1 + 0 + 5 + 48 + 7 + 157 + 414 + 3 + 31 = 666.

It is not a de Polignac number, because 105487157414331 - 2⁹ = 105487157413819 is a prime.

It is a super-2 number, since 2×105487157414331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105487157414381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18918570 + ... + 23851343.

It is an arithmetic number, because the mean of its divisors is an integer number (3958783239840).

Almost surely, 2^{105487157414331} is an apocalyptic number.

105487157414331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105487157414331 is a deficient number, since it is larger than the sum of its proper divisors (84534438097989).

105487157414331 is a wasteful number, since it uses less digits than its factorization.

105487157414331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42773496 (or 42773493 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 105487157414331 in words is "one hundred five trillion, four hundred eighty-seven billion, one hundred fifty-seven million, four hundred fourteen thousand, three hundred thirty-one".