105826596100 has 27 divisors (see below), whose sum is σ = 229650772981. Its totient is φ = 42329337200.

The previous prime is 105826596097. The next prime is 105826596107. The reversal of 105826596100 is 1695628501.

The square root of 105826596100 is 325310.

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., 38097574596 + 67729021504 = 195186^2 + 260248^2 .

It is a super-2 number, since 2×105826596100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105826596107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3236835 + ... + 3269365.

Almost surely, 2^105826596100 is an apocalyptic number.

105826596100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105826596100 is the 325310-th square number.

It is an amenable number.

105826596100 is an abundant number, since it is smaller than the sum of its proper divisors (123824176881).

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

105826596100 is an frugal number, since it uses more digits than its factorization.

105826596100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65076 (or 32538 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 43.

The spelling of 105826596100 in words is "one hundred five billion, eight hundred twenty-six million, five hundred ninety-six thousand, one hundred".