105320685888 has 896 divisors, whose sum is σ = 384276234240. Its totient is φ = 27882455040.

The previous prime is 105320685839. The next prime is 105320685923. The reversal of 105320685888 is 888586023501.

It is a happy number.

105320685888 is a `hidden beast` number, since 1 + 0 + 53 + 2 + 0 + 6 + 8 + 588 + 8 = 666.

It is a super-2 number, since 2×105320685888² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 274988545 + ... + 274988927.

Almost surely, 2^105320685888 is an apocalyptic number.

105320685888 is a gapful number since it is divisible by the number (18) 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 105320685888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192138117120).

105320685888 is an abundant number, since it is smaller than the sum of its proper divisors (278955548352).

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

105320685888 is a wasteful number, since it uses less digits than its factorization.

105320685888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 105320685888 in words is "one hundred five billion, three hundred twenty million, six hundred eighty-five thousand, eight hundred eighty-eight".