105997450800 has 240 divisors, whose sum is σ = 357851183360. Its totient is φ = 26745707520.

The previous prime is 105997450799. The next prime is 105997450807. The reversal of 105997450800 is 8054799501.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×105997450800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 105997450800.

It is not an unprimeable number, because it can be changed into a prime (105997450807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22729269 + ... + 22733931.

Almost surely, 2^105997450800 is an apocalyptic number.

105997450800 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 105997450800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178925591680).

105997450800 is an abundant number, since it is smaller than the sum of its proper divisors (251853732560).

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

105997450800 is a wasteful number, since it uses less digits than its factorization.

105997450800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5700 (or 5689 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The spelling of 105997450800 in words is "one hundred five billion, nine hundred ninety-seven million, four hundred fifty thousand, eight hundred".