106797586401 has 45 divisors (see below), whose sum is σ = 175412138979. Its totient is φ = 64706202000.

The previous prime is 106797586373. The next prime is 106797586451. The reversal of 106797586401 is 104685797601.

The square root of 106797586401 is 326799.

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

106797586401 is a `hidden beast` number, since 10 + 6 + 7 + 9 + 7 + 586 + 40 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22081662801 + 84715923600 = 148599^2 + 291060^2 .

It is not a de Polignac number, because 106797586401 - 2⁵ = 106797586369 is a prime.

It is a super-2 number, since 2×106797586401² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106797586451) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 32351451 + ... + 32354751.

Almost surely, 2^106797586401 is an apocalyptic number.

106797586401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106797586401 is the 326799-th square number.

106797586401 is the 163400-th centered octagonal number.

It is an amenable number.

106797586401 is a deficient number, since it is larger than the sum of its proper divisors (68614552578).

106797586401 is an frugal number, since it uses more digits than its factorization.

106797586401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6636 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 106797586401 in words is "one hundred six billion, seven hundred ninety-seven million, five hundred eighty-six thousand, four hundred one".