106153253 has 16 divisors (see below), whose sum is σ = 116970480. Its totient is φ = 95886336.

The previous prime is 106153249. The next prime is 106153279. The reversal of 106153253 is 352351601.

It can be written as a sum of positive squares in 8 ways, for example, as 56055169 + 50098084 = 7487^2 + 7078^2 .

It is a cyclic number.

It is not a de Polignac number, because 106153253 - 2² = 106153249 is a prime.

It is a super-2 number, since 2×106153253² = 22537026244964018, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106158253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96575 + ... + 97667.

It is an arithmetic number, because the mean of its divisors is an integer number (7310655).

Almost surely, 2^106153253 is an apocalyptic number.

It is an amenable number.

106153253 is a deficient number, since it is larger than the sum of its proper divisors (10817227).

106153253 is a wasteful number, since it uses less digits than its factorization.

106153253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336.

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 106153253 is about 10303.0700764384. The cubic root of 106153253 is about 473.4903175099.

The spelling of 106153253 in words is "one hundred six million, one hundred fifty-three thousand, two hundred fifty-three".