105138610557 has 16 divisors (see below), whose sum is σ = 143169164928. Its totient is φ = 68606516160.

The previous prime is 105138610543. The next prime is 105138610561. The reversal of 105138610557 is 755016831501.

It is a happy number.

It is not a de Polignac number, because 105138610557 - 2¹⁶ = 105138545021 is a prime.

It is a super-2 number, since 2×105138610557² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105138614557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718393 + ... + 852270.

It is an arithmetic number, because the mean of its divisors is an integer number (8948072808).

Almost surely, 2^105138610557 is an apocalyptic number.

It is an amenable number.

105138610557 is a deficient number, since it is larger than the sum of its proper divisors (38030554371).

105138610557 is a wasteful number, since it uses less digits than its factorization.

105138610557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571140.

The product of its (nonzero) digits is 126000, while the sum is 42.

The spelling of 105138610557 in words is "one hundred five billion, one hundred thirty-eight million, six hundred ten thousand, five hundred fifty-seven".