105577696 has 48 divisors (see below), whose sum is σ = 242059104. Its totient is φ = 44388864.

The previous prime is 105577691. The next prime is 105577721. The reversal of 105577696 is 696775501.

It is a happy number.

It is a super-2 number, since 2×105577696² = 22293299785336832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105577691) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7426 + ... + 16318.

It is an arithmetic number, because the mean of its divisors is an integer number (5042898).

Almost surely, 2^105577696 is an apocalyptic number.

105577696 is a gapful number since it is divisible by the number (16) 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 105577696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121029552).

105577696 is an abundant number, since it is smaller than the sum of its proper divisors (136481408).

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

105577696 is an equidigital number, since it uses as much as digits as its factorization.

105577696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8963 (or 8955 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 46.

The square root of 105577696 is about 10275.1007780946. The cubic root of 105577696 is about 472.6330202266.

The spelling of 105577696 in words is "one hundred five million, five hundred seventy-seven thousand, six hundred ninety-six".