105129093888 has 864 divisors, whose sum is σ = 395816512000. Its totient is φ = 27653197824.

The previous prime is 105129093847. The next prime is 105129093919. The reversal of 105129093888 is 888390921501.

105129093888 is a `hidden beast` number, since 1 + 0 + 512 + 90 + 9 + 38 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×105129093888² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277385283 + ... + 277385661.

Almost surely, 2^105129093888 is an apocalyptic number.

105129093888 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 105129093888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197908256000).

105129093888 is an abundant number, since it is smaller than the sum of its proper divisors (290687418112).

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

105129093888 is an frugal number, since it uses more digits than its factorization.

105129093888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 105129093888 in words is "one hundred five billion, one hundred twenty-nine million, ninety-three thousand, eight hundred eighty-eight".