105673264620 has 192 divisors, whose sum is σ = 369560088576. Its totient is φ = 21918539520.

The previous prime is 105673264607. The next prime is 105673264639. The reversal of 105673264620 is 26462376501.

It is a super-2 number, since 2×105673264620² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2580747 + ... + 2621373.

It is an arithmetic number, because the mean of its divisors is an integer number (1924792128).

Almost surely, 2^105673264620 is an apocalyptic number.

105673264620 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 105673264620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184780044288).

105673264620 is an abundant number, since it is smaller than the sum of its proper divisors (263886823956).

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

105673264620 is a wasteful number, since it uses less digits than its factorization.

105673264620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41220 (or 41218 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 105673264620 in words is "one hundred five billion, six hundred seventy-three million, two hundred sixty-four thousand, six hundred twenty".