105847401296 has 240 divisors, whose sum is σ = 265315590144. Its totient is φ = 40015213056.

The previous prime is 105847401293. The next prime is 105847401313. The reversal of 105847401296 is 692104748501.

It is a happy number.

It is a super-2 number, since 2×105847401296² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a self number, because there is not a number n which added to its sum of digits gives 105847401296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105847401293) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 38252105 + ... + 38254871.

Almost surely, 2^105847401296 is an apocalyptic number.

105847401296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105847401296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132657795072).

105847401296 is an abundant number, since it is smaller than the sum of its proper divisors (159468188848).

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

105847401296 is a wasteful number, since it uses less digits than its factorization.

105847401296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 105847401296 in words is "one hundred five billion, eight hundred forty-seven million, four hundred one thousand, two hundred ninety-six".