105404471172 has 432 divisors, whose sum is σ = 363229426560. Its totient is φ = 25076874240.

The previous prime is 105404471147. The next prime is 105404471213. The reversal of 105404471172 is 271174404501.

105404471172 is a `hidden beast` number, since 1 + 0 + 5 + 40 + 447 + 1 + 172 = 666.

It is a super-2 number, since 2×105404471172² (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 143 ways as a sum of consecutive naturals, for example, 55098088 + ... + 55100000.

Almost surely, 2^105404471172 is an apocalyptic number.

105404471172 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 105404471172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181614713280).

105404471172 is an abundant number, since it is smaller than the sum of its proper divisors (257824955388).

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

105404471172 is a wasteful number, since it uses less digits than its factorization.

105404471172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

Adding to 105404471172 its reverse (271174404501), we get a palindrome (376578875673).

The spelling of 105404471172 in words is "one hundred five billion, four hundred four million, four hundred seventy-one thousand, one hundred seventy-two".