105065630976 has 144 divisors (see below), whose sum is σ = 299673489024. Its totient is φ = 32593600512.

The previous prime is 105065630959. The next prime is 105065630977. The reversal of 105065630976 is 679036560501.

It is a super-2 number, since 2×105065630976² (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 not an unprimeable number, because it can be changed into a prime (105065630977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573190 + ... + 733946.

It is an arithmetic number, because the mean of its divisors is an integer number (2081065896).

Almost surely, 2^105065630976 is an apocalyptic number.

105065630976 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 105065630976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149836744512).

105065630976 is an abundant number, since it is smaller than the sum of its proper divisors (194607858048).

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

105065630976 is a wasteful number, since it uses less digits than its factorization.

105065630976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160836 (or 160822 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 48.

The spelling of 105065630976 in words is "one hundred five billion, sixty-five million, six hundred thirty thousand, nine hundred seventy-six".