105131692848 has 960 divisors, whose sum is σ = 378424112640. Its totient is φ = 24831442944.

The previous prime is 105131692843. The next prime is 105131692849. The reversal of 105131692848 is 848296131501.

It is a happy number.

It is a super-2 number, since 2×105131692848² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 105131692797 and 105131692806.

It is not an unprimeable number, because it can be changed into a prime (105131692843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1440160140 + ... + 1440160212.

It is an arithmetic number, because the mean of its divisors is an integer number (394191784).

Almost surely, 2^105131692848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105131692848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189212056320).

105131692848 is an abundant number, since it is smaller than the sum of its proper divisors (273292419792).

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

105131692848 is a wasteful number, since it uses less digits than its factorization.

105131692848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 105131692848 in words is "one hundred five billion, one hundred thirty-one million, six hundred ninety-two thousand, eight hundred forty-eight".