105126208992 has 672 divisors, whose sum is σ = 385698539520. Its totient is φ = 27512110080.

The previous prime is 105126208991. The next prime is 105126209009. The reversal of 105126208992 is 299802621501.

It is a happy number.

105126208992 is a `hidden beast` number, since 1 + 0 + 5 + 12 + 620 + 8 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×105126208992² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105126208991) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 96180798 + ... + 96181890.

It is an arithmetic number, because the mean of its divisors is an integer number (573956160).

Almost surely, 2^105126208992 is an apocalyptic number.

105126208992 is a gapful number since it is divisible by the number (12) 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 105126208992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192849269760).

105126208992 is an abundant number, since it is smaller than the sum of its proper divisors (280572330528).

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

105126208992 is a wasteful number, since it uses less digits than its factorization.

105126208992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 105126208992 in words is "one hundred five billion, one hundred twenty-six million, two hundred eight thousand, nine hundred ninety-two".