105801796 has 27 divisors (see below), whose sum is σ = 191671389. Its totient is φ = 51100848.

The previous prime is 105801781. The next prime is 105801799. The reversal of 105801796 is 697108501.

The square root of 105801796 is 10286.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 94672900 + 11128896 = 9730^2 + 3336^2 .

It is a super-2 number, since 2×105801796² = 22388040073651232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105801799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 761095 + ... + 761233.

Almost surely, 2^105801796 is an apocalyptic number.

105801796 is the 10286-th square number.

It is an amenable number.

105801796 is a deficient number, since it is larger than the sum of its proper divisors (85869593).

105801796 is an equidigital number, since it uses as much as digits as its factorization.

105801796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 37.

The cubic root of 105801796 is about 472.9671886857.

The spelling of 105801796 in words is "one hundred five million, eight hundred one thousand, seven hundred ninety-six".