105129722880 has 1408 divisors, whose sum is σ = 470779868160. Its totient is φ = 21658337280.

The previous prime is 105129722851. The next prime is 105129722921. The reversal of 105129722880 is 88227921501.

105129722880 is a `hidden beast` number, since 10 + 51 + 297 + 228 + 80 = 666.

It is a super-2 number, since 2×105129722880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 767370172 + ... + 767370308.

Almost surely, 2^105129722880 is an apocalyptic number.

105129722880 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 105129722880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235389934080).

105129722880 is an abundant number, since it is smaller than the sum of its proper divisors (365650145280).

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

105129722880 is a wasteful number, since it uses less digits than its factorization.

105129722880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 105129722880 in words is "one hundred five billion, one hundred twenty-nine million, seven hundred twenty-two thousand, eight hundred eighty".