106057153 has 2 divisors, whose sum is σ = 106057154. Its totient is φ = 106057152.

The previous prime is 106057129. The next prime is 106057177. The reversal of 106057153 is 351750601.

It is a balanced prime because it is at equal distance from previous prime (106057129) and next prime (106057177).

It can be written as a sum of positive squares in only one way, i.e., 105513984 + 543169 = 10272^2 + 737^2 .

It is a cyclic number.

It is not a de Polignac number, because 106057153 - 2⁵ = 106057121 is a prime.

It is a super-2 number, since 2×106057153² = 22496239404930818, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106057103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53028576 + 53028577.

It is an arithmetic number, because the mean of its divisors is an integer number (53028577).

Almost surely, 2^106057153 is an apocalyptic number.

It is an amenable number.

106057153 is a deficient number, since it is larger than the sum of its proper divisors (1).

106057153 is an equidigital number, since it uses as much as digits as its factorization.

106057153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 106057153 is about 10298.4053619966. The cubic root of 106057153 is about 473.3473915792.

The spelling of 106057153 in words is "one hundred six million, fifty-seven thousand, one hundred fifty-three".