106827654025 has 27 divisors (see below), whose sum is σ = 133753244583. Its totient is φ = 84639781200.

The previous prime is 106827653993. The next prime is 106827654049. The reversal of 106827654025 is 520456728601.

The square root of 106827654025 is 326845.

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

It can be written as a sum of positive squares in only one way, i.e., 38457955449 + 68369698576 = 196107^2 + 261476^2 .

It is not a de Polignac number, because 106827654025 - 2⁵ = 106827653993 is a prime.

It is a super-2 number, since 2×106827654025² (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, 214083226 + ... + 214083724.

Almost surely, 2^106827654025 is an apocalyptic number.

106827654025 is the 326845-th square number.

106827654025 is the 163423-rd centered octagonal number.

It is an amenable number.

106827654025 is a deficient number, since it is larger than the sum of its proper divisors (26925590558).

106827654025 is an frugal number, since it uses more digits than its factorization.

106827654025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 106827654025 in words is "one hundred six billion, eight hundred twenty-seven million, six hundred fifty-four thousand, twenty-five".