105995495424 has 768 divisors, whose sum is σ = 366545088000. Its totient is φ = 27051687936.

The previous prime is 105995495413. The next prime is 105995495471. The reversal of 105995495424 is 424594599501.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×105995495424² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1451993052 + ... + 1451993124.

It is an arithmetic number, because the mean of its divisors is an integer number (477272250).

Almost surely, 2^105995495424 is an apocalyptic number.

105995495424 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 105995495424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183272544000).

105995495424 is an abundant number, since it is smaller than the sum of its proper divisors (260549592576).

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

105995495424 is an equidigital number, since it uses as much as digits as its factorization.

105995495424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 57.

The spelling of 105995495424 in words is "one hundred five billion, nine hundred ninety-five million, four hundred ninety-five thousand, four hundred twenty-four".