106736157025 has 45 divisors (see below), whose sum is σ = 140481832713. Its totient is φ = 80447839200.

The previous prime is 106736156981. The next prime is 106736157043. The reversal of 106736157025 is 520751637601.

The square root of 106736157025 is 326705.

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

It can be written as a sum of positive squares in 4 ways, for example, as 57285071649 + 49451085376 = 239343^2 + 222376^2 .

It is not a de Polignac number, because 106736157025 - 2¹⁷ = 106736025953 is a prime.

It is a super-2 number, since 2×106736157025² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 589702435 + ... + 589702615.

Almost surely, 2^106736157025 is an apocalyptic number.

106736157025 is the 326705-th square number.

106736157025 is the 163353-rd centered octagonal number.

It is an amenable number.

106736157025 is a deficient number, since it is larger than the sum of its proper divisors (33745675688).

106736157025 is an frugal number, since it uses more digits than its factorization.

106736157025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 43.

The spelling of 106736157025 in words is "one hundred six billion, seven hundred thirty-six million, one hundred fifty-seven thousand, twenty-five".