105404461764 has 96 divisors (see below), whose sum is σ = 285394636800. Its totient is φ = 29654190720.

The previous prime is 105404461739. The next prime is 105404461793. The reversal of 105404461764 is 467164404501.

It is a super-2 number, since 2×105404461764² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4933497 + ... + 4954815.

It is an arithmetic number, because the mean of its divisors is an integer number (2972860800).

Almost surely, 2^105404461764 is an apocalyptic number.

105404461764 is a gapful number since it is divisible by the number (14) 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 105404461764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142697318400).

105404461764 is an abundant number, since it is smaller than the sum of its proper divisors (179990175036).

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

105404461764 is a wasteful number, since it uses less digits than its factorization.

105404461764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22233 (or 22231 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 105404461764 in words is "one hundred five billion, four hundred four million, four hundred sixty-one thousand, seven hundred sixty-four".