106578090369 has 9 divisors (see below), whose sum is σ = 153947545219. Its totient is φ = 71051407320.

The previous prime is 106578090347. The next prime is 106578090383. The reversal of 106578090369 is 963090875601.

The square root of 106578090369 is 326463.

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

106578090369 is a `hidden beast` number, since 1 + 0 + 6 + 578 + 0 + 9 + 0 + 3 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64446422769 + 42131667600 = 253863^2 + 205260^2 .

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

It is not a de Polignac number, because 106578090369 - 2²⁹ = 106041219457 is a prime.

It is a super-2 number, since 2×106578090369² (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 (106578090319) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 924979 + ... + 1033799.

Almost surely, 2^106578090369 is an apocalyptic number.

106578090369 is the 326463-rd square number.

106578090369 is the 163232-nd centered octagonal number.

It is an amenable number.

106578090369 is a deficient number, since it is larger than the sum of its proper divisors (47369454850).

106578090369 is an frugal number, since it uses more digits than its factorization.

106578090369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217648 (or 108824 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 106578090369 in words is "one hundred six billion, five hundred seventy-eight million, ninety thousand, three hundred sixty-nine".