105138476157 has 96 divisors (see below), whose sum is σ = 174289747968. Its totient is φ = 55521216000.

The previous prime is 105138476143. The next prime is 105138476203. The reversal of 105138476157 is 751674831501.

It is not a de Polignac number, because 105138476157 - 2¹⁹ = 105137951869 is a prime.

It is a super-2 number, since 2×105138476157² (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 (105138472157) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 22353268 + ... + 22357970.

It is an arithmetic number, because the mean of its divisors is an integer number (1815518208).

Almost surely, 2^105138476157 is an apocalyptic number.

It is an amenable number.

105138476157 is a deficient number, since it is larger than the sum of its proper divisors (69151271811).

105138476157 is a wasteful number, since it uses less digits than its factorization.

105138476157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4843 (or 4802 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 105138476157 in words is "one hundred five billion, one hundred thirty-eight million, four hundred seventy-six thousand, one hundred fifty-seven".