105391020840 has 192 divisors, whose sum is σ = 370052919360. Its totient is φ = 23941370880.

The previous prime is 105391020811. The next prime is 105391020841. The reversal of 105391020840 is 48020193501.

It is a super-2 number, since 2×105391020840² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105391020841) 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 47 ways as a sum of consecutive naturals, for example, 903460 + ... + 1013420.

It is an arithmetic number, because the mean of its divisors is an integer number (1927358955).

Almost surely, 2^105391020840 is an apocalyptic number.

105391020840 is a gapful number since it is divisible by the number (10) 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 105391020840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185026459680).

105391020840 is an abundant number, since it is smaller than the sum of its proper divisors (264661898520).

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

105391020840 is a wasteful number, since it uses less digits than its factorization.

105391020840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110152 (or 110141 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 105391020840 in words is "one hundred five billion, three hundred ninety-one million, twenty thousand, eight hundred forty".