105076278963808 has 96 divisors (see below), whose sum is σ = 214839400712832. Its totient is φ = 50549407948800.

The previous prime is 105076278963791. The next prime is 105076278963827. The reversal of 105076278963808 is 808369872670501.

It is a super-2 number, since 2×105076278963808² (a number of 29 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 15 ways as a sum of consecutive naturals, for example, 1037299210 + ... + 1037400502.

It is an arithmetic number, because the mean of its divisors is an integer number (2237910424092).

Almost surely, 2^{105076278963808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105076278963808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107419700356416).

105076278963808 is an abundant number, since it is smaller than the sum of its proper divisors (109763121749024).

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

105076278963808 is a wasteful number, since it uses less digits than its factorization.

105076278963808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112248 (or 112240 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 70.

The spelling of 105076278963808 in words is "one hundred five trillion, seventy-six billion, two hundred seventy-eight million, nine hundred sixty-three thousand, eight hundred eight".