105494831910 has 192 divisors, whose sum is σ = 303182792640. Its totient is φ = 25291284480.

The previous prime is 105494831909. The next prime is 105494831951. The reversal of 105494831910 is 19138494501.

105494831910 is a `hidden beast` number, since 1 + 0 + 549 + 4 + 83 + 19 + 10 = 666.

It is a super-2 number, since 2×105494831910² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6969150 + ... + 6984270.

It is an arithmetic number, because the mean of its divisors is an integer number (1579077045).

Almost surely, 2^105494831910 is an apocalyptic number.

105494831910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105494831910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151591396320).

105494831910 is an abundant number, since it is smaller than the sum of its proper divisors (197687960730).

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

105494831910 is a wasteful number, since it uses less digits than its factorization.

105494831910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15303 (or 15300 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 105494831910 in words is "one hundred five billion, four hundred ninety-four million, eight hundred thirty-one thousand, nine hundred ten".