105940485225 has 63 divisors (see below), whose sum is σ = 197040928039. Its totient is φ = 56478157200.

The previous prime is 105940485197. The next prime is 105940485239. The reversal of 105940485225 is 522584049501.

The square root of 105940485225 is 325485.

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

105940485225 is a `hidden beast` number, since 1 + 0 + 594 + 0 + 4 + 8 + 52 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38138574681 + 67801910544 = 195291^2 + 260388^2 .

It is not a de Polignac number, because 105940485225 - 2¹⁷ = 105940354153 is a prime.

It is a super-2 number, since 2×105940485225² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 43939270 + ... + 43941680.

Almost surely, 2^105940485225 is an apocalyptic number.

105940485225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105940485225 is the 325485-th square number.

105940485225 is the 162743-rd centered octagonal number.

It is an amenable number.

105940485225 is a deficient number, since it is larger than the sum of its proper divisors (91100442814).

105940485225 is an frugal number, since it uses more digits than its factorization.

105940485225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4850 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 105940485225 in words is "one hundred five billion, nine hundred forty million, four hundred eighty-five thousand, two hundred twenty-five".