105084819840 has 1536 divisors, whose sum is σ = 468372119040. Its totient is φ = 19694223360.

The previous prime is 105084819839. The next prime is 105084819841. The reversal of 105084819840 is 48918480501.

It is an interprime number because it is at equal distance from previous prime (105084819839) and next prime (105084819841).

It is a super-2 number, since 2×105084819840² (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 self number, because there is not a number n which added to its sum of digits gives 105084819840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105084819841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 982101067 + ... + 982101173.

It is an arithmetic number, because the mean of its divisors is an integer number (304929765).

Almost surely, 2^105084819840 is an apocalyptic number.

105084819840 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 105084819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234186059520).

105084819840 is an abundant number, since it is smaller than the sum of its proper divisors (363287299200).

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

105084819840 is a wasteful number, since it uses less digits than its factorization.

105084819840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 48.

The spelling of 105084819840 in words is "one hundred five billion, eighty-four million, eight hundred nineteen thousand, eight hundred forty".