106729623025 has 27 divisors (see below), whose sum is σ = 133396139649. Its totient is φ = 84710706720.

The previous prime is 106729623019. The next prime is 106729623037. The reversal of 106729623025 is 520326927601.

The square root of 106729623025 is 326695.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16902340081 + 89827282944 = 130009^2 + 299712^2 .

It is not a de Polignac number, because 106729623025 - 2¹³ = 106729614833 is a prime.

It is a super-2 number, since 2×106729623025² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 364264779 + ... + 364265071.

Almost surely, 2^106729623025 is an apocalyptic number.

106729623025 is the 326695-th square number.

106729623025 is the 163348-th centered octagonal number.

It is an amenable number.

106729623025 is a deficient number, since it is larger than the sum of its proper divisors (26666516624).

106729623025 is an frugal number, since it uses more digits than its factorization.

106729623025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 106729623025 in words is "one hundred six billion, seven hundred twenty-nine million, six hundred twenty-three thousand, twenty-five".