106691076496 has 45 divisors (see below), whose sum is σ = 212548127169. Its totient is φ = 51880249152.

The previous prime is 106691076493. The next prime is 106691076497. The reversal of 106691076496 is 694670196601.

The square root of 106691076496 is 326636.

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., 95468640400 + 11222436096 = 308980^2 + 105936^2 .

It is a super-2 number, since 2×106691076496² (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 (106691076493) 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, 48341025 + ... + 48343231.

Almost surely, 2^106691076496 is an apocalyptic number.

106691076496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

106691076496 is the 326636-th square number.

It is an amenable number.

106691076496 is a deficient number, since it is larger than the sum of its proper divisors (105857050673).

106691076496 is an frugal number, since it uses more digits than its factorization.

106691076496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 55.

The spelling of 106691076496 in words is "one hundred six billion, six hundred ninety-one million, seventy-six thousand, four hundred ninety-six".