106157 has 4 divisors (see below), whose sum is σ = 107520. Its totient is φ = 104796.

The previous prime is 106129. The next prime is 106163. The reversal of 106157 is 751601.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 751601 = 59 ⋅12739.

It is a cyclic number.

It is not a de Polignac number, because 106157 - 2¹² = 102061 is a prime.

It is a super-2 number, since 2×106157² = 22538617298, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106157.

It is not an unprimeable number, because it can be changed into a prime (106187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 557 + ... + 722.

It is an arithmetic number, because the mean of its divisors is an integer number (26880).

2¹⁰⁶¹⁵⁷ is an apocalyptic number.

It is an amenable number.

106157 is a deficient number, since it is larger than the sum of its proper divisors (1363).

106157 is an equidigital number, since it uses as much as digits as its factorization.

106157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362.

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 106157 is about 325.8174335422. The cubic root of 106157 is about 47.3495888535.

Adding to 106157 its reverse (751601), we get a palindrome (857758).

It can be divided in two parts, 10615 and 7, that multiplied together give a triangular number (74305 = T₃₈₅).

The spelling of 106157 in words is "one hundred six thousand, one hundred fifty-seven".