105302935776 has 144 divisors (see below), whose sum is σ = 298049092992. Its totient is φ = 32491134720.

The previous prime is 105302935757. The next prime is 105302935783. The reversal of 105302935776 is 677539203501.

It is a super-2 number, since 2×105302935776² (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2097075 + ... + 2146701.

It is an arithmetic number, because the mean of its divisors is an integer number (2069785368).

Almost surely, 2^105302935776 is an apocalyptic number.

105302935776 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 105302935776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149024546496).

105302935776 is an abundant number, since it is smaller than the sum of its proper divisors (192746157216).

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

105302935776 is a wasteful number, since it uses less digits than its factorization.

105302935776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49725 (or 49686 counting only the distinct ones).

The product of its (nonzero) digits is 1190700, while the sum is 48.

The spelling of 105302935776 in words is "one hundred five billion, three hundred two million, nine hundred thirty-five thousand, seven hundred seventy-six".