105823343025 has 45 divisors (see below), whose sum is σ = 196048531921. Its totient is φ = 56431308960.

The previous prime is 105823343023. The next prime is 105823343039. The reversal of 105823343025 is 520343328501.

The square root of 105823343025 is 325305.

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

105823343025 is a `hidden beast` number, since 1 + 0 + 582 + 33 + 43 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33389156529 + 72434186496 = 182727^2 + 269136^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 105823343025 - 2¹ = 105823343023 is a prime.

It is a super-2 number, since 2×105823343025² (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 (105823343023) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14635111 + ... + 14642339.

Almost surely, 2^105823343025 is an apocalyptic number.

105823343025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105823343025 is the 325305-th square number.

105823343025 is the 162653-rd centered octagonal number.

It is an amenable number.

105823343025 is a deficient number, since it is larger than the sum of its proper divisors (90225188896).

105823343025 is an frugal number, since it uses more digits than its factorization.

105823343025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14480 (or 7237 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Multiplying 105823343025 by its sum of digits (36), we get a square (3809640348900 = 1951830²).

The spelling of 105823343025 in words is "one hundred five billion, eight hundred twenty-three million, three hundred forty-three thousand, twenty-five".