105788854080 has 1344 divisors, whose sum is σ = 479291904000. Its totient is φ = 20808990720.

The previous prime is 105788854079. The next prime is 105788854099. The reversal of 105788854080 is 80458887501.

105788854080 is a `hidden beast` number, since 10 + 5 + 7 + 8 + 8 + 8 + 540 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×105788854080² (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 191 ways as a sum of consecutive naturals, for example, 235609696 + ... + 235610144.

It is an arithmetic number, because the mean of its divisors is an integer number (356616000).

Almost surely, 2^105788854080 is an apocalyptic number.

105788854080 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 105788854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239645952000).

105788854080 is an abundant number, since it is smaller than the sum of its proper divisors (373503049920).

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

105788854080 is a wasteful number, since it uses less digits than its factorization.

105788854080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 54.

The spelling of 105788854080 in words is "one hundred five billion, seven hundred eighty-eight million, eight hundred fifty-four thousand, eighty".