105129446400 has 990 divisors, whose sum is σ = 428909670420. Its totient is φ = 25425100800.

The previous prime is 105129446363. The next prime is 105129446413. The reversal of 105129446400 is 4644921501.

105129446400 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 2 + 9 + 4 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (990).

It is a super-2 number, since 2×105129446400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 250905391 + ... + 250905809.

Almost surely, 2^105129446400 is an apocalyptic number.

105129446400 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 105129446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214454835210).

105129446400 is an abundant number, since it is smaller than the sum of its proper divisors (323780224020).

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

105129446400 is a wasteful number, since it uses less digits than its factorization.

105129446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 105129446400 in words is "one hundred five billion, one hundred twenty-nine million, four hundred forty-six thousand, four hundred".