105632822400 has 384 divisors, whose sum is σ = 410467061760. Its totient is φ = 23365324800.

The previous prime is 105632822371. The next prime is 105632822411. The reversal of 105632822400 is 4228236501.

105632822400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×105632822400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2057847 + ... + 2108553.

It is an arithmetic number, because the mean of its divisors is an integer number (1068924640).

Almost surely, 2^105632822400 is an apocalyptic number.

105632822400 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 105632822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205233530880).

105632822400 is an abundant number, since it is smaller than the sum of its proper divisors (304834239360).

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

105632822400 is a wasteful number, since it uses less digits than its factorization.

105632822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50772 (or 50755 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 105632822400 in words is "one hundred five billion, six hundred thirty-two million, eight hundred twenty-two thousand, four hundred".