106848573129 has 9 divisors (see below), whose sum is σ = 154338244333. Its totient is φ = 71231728332.

The previous prime is 106848573079. The next prime is 106848573131. The reversal of 106848573129 is 921375848601.

The square root of 106848573129 is 326877.

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

106848573129 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 48 + 573 + 1 + 29 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 106848573129 - 2²⁵ = 106815018697 is a prime.

It is a super-2 number, since 2×106848573129² (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 (106848573149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 926152 + ... + 1035110.

It is a 1-persistent number, because it is pandigital, but 2⋅106848573129 = 213697146258 is not.

Almost surely, 2^106848573129 is an apocalyptic number.

106848573129 is the 326877-th square number.

106848573129 is the 163439-th centered octagonal number.

It is an amenable number.

106848573129 is a deficient number, since it is larger than the sum of its proper divisors (47489671204).

106848573129 is an frugal number, since it uses more digits than its factorization.

106848573129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217924 (or 108962 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 106848573129 in words is "one hundred six billion, eight hundred forty-eight million, five hundred seventy-three thousand, one hundred twenty-nine".