105220154112000 has 384 divisors, whose sum is σ = 368512873747200. Its totient is φ = 26581929984000.

The previous prime is 105220154111983. The next prime is 105220154112011. The reversal of 105220154112000 is 211451022501.

It is a happy number.

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

It is a super-2 number, since 2×105220154112000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10986595 + ... + 18197405.

It is an arithmetic number, because the mean of its divisors is an integer number (959668942050).

Almost surely, 2^{105220154112000} is an apocalyptic number.

105220154112000 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 105220154112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184256436873600).

105220154112000 is an abundant number, since it is smaller than the sum of its proper divisors (263292719635200).

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

105220154112000 is an equidigital number, since it uses as much as digits as its factorization.

105220154112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7210870 (or 7210840 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The spelling of 105220154112000 in words is "one hundred five trillion, two hundred twenty billion, one hundred fifty-four million, one hundred twelve thousand".