106501157 has 10 divisors (see below), whose sum is σ = 124246758. Its totient is φ = 91284648.

The previous prime is 106501147. The next prime is 106501163. The reversal of 106501157 is 751105601.

It can be written as a sum of positive squares in only one way, i.e., 104878081 + 1623076 = 10241^2 + 1274^2 .

It is not a de Polignac number, because 106501157 - 2⁶ = 106501093 is a prime.

It is a super-2 number, since 2×106501157² = 22684992884677298, 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 (106501127) 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 9 ways as a sum of consecutive naturals, for example, 19778 + ... + 24579.

Almost surely, 2^106501157 is an apocalyptic number.

It is an amenable number.

106501157 is a deficient number, since it is larger than the sum of its proper divisors (17745601).

106501157 is an frugal number, since it uses more digits than its factorization.

106501157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44385 (or 44364 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 26.

The square root of 106501157 is about 10319.9397769561. The cubic root of 106501157 is about 474.0070218595.

Adding to 106501157 its reverse (751105601), we get a palindrome (857606758).

The spelling of 106501157 in words is "one hundred six million, five hundred one thousand, one hundred fifty-seven".