105076608000 has 1408 divisors, whose sum is σ = 448638468096. Its totient is φ = 21233664000.

The previous prime is 105076607989. The next prime is 105076608011. The reversal of 105076608000 is 806670501.

It is an interprime number because it is at equal distance from previous prime (105076607989) and next prime (105076608011).

It is a super-2 number, since 2×105076608000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1083263952 + ... + 1083264048.

Almost surely, 2^105076608000 is an apocalyptic number.

105076608000 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 105076608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224319234048).

105076608000 is an abundant number, since it is smaller than the sum of its proper divisors (343561860096).

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

105076608000 is a wasteful number, since it uses less digits than its factorization.

105076608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 105076608000 in words is "one hundred five billion, seventy-six million, six hundred eight thousand".