106193025 has 45 divisors (see below), whose sum is σ = 197568921. Its totient is φ = 56388960.

The previous prime is 106193023. The next prime is 106193029. The reversal of 106193025 is 520391601.

The square root of 106193025 is 10305.

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

106193025 is a `hidden beast` number, since 10 + 619 + 30 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14493249 + 91699776 = 3807^2 + 9576^2 .

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

It is not a de Polignac number, because 106193025 - 2¹ = 106193023 is a prime.

It is a super-2 number, since 2×106193025² = 22553917117301250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106193025.

It is not an unprimeable number, because it can be changed into a prime (106193023) 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, 463611 + ... + 463839.

Almost surely, 2^106193025 is an apocalyptic number.

106193025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106193025 is the 10305-th square number.

106193025 is the 5153-rd centered octagonal number.

It is an amenable number.

106193025 is a deficient number, since it is larger than the sum of its proper divisors (91375896).

106193025 is an frugal number, since it uses more digits than its factorization.

106193025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The cubic root of 106193025 is about 473.5494436790.

It can be divided in two parts, 106 and 193025, that added together give a triangular number (193131 = T₆₂₁).

The spelling of 106193025 in words is "one hundred six million, one hundred ninety-three thousand, twenty-five".