106524557161 has 9 divisors (see below), whose sum is σ = 117092922429. Its totient is φ = 96837242700.

The previous prime is 106524557143. The next prime is 106524557173. The reversal of 106524557161 is 161755425601.

It is a happy number.

The square root of 106524557161 is 326381.

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

It is not a de Polignac number, because 106524557161 - 2⁵ = 106524557129 is a prime.

It is a super-2 number, since 2×106524557161² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106524552161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3575356 + ... + 3605026.

Almost surely, 2^106524557161 is an apocalyptic number.

106524557161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106524557161 is the 326381-st square number.

106524557161 is the 163191-st centered octagonal number.

It is an amenable number.

106524557161 is a deficient number, since it is larger than the sum of its proper divisors (10568365268).

106524557161 is an frugal number, since it uses more digits than its factorization.

106524557161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59364 (or 29682 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 43.

The spelling of 106524557161 in words is "one hundred six billion, five hundred twenty-four million, five hundred fifty-seven thousand, one hundred sixty-one".