106582007961 has 81 divisors (see below), whose sum is σ = 183479040381. Its totient is φ = 59547945600.

The previous prime is 106582007953. The next prime is 106582008019. The reversal of 106582007961 is 169700285601.

The square root of 106582007961 is 326469.

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

106582007961 is a `hidden beast` number, since 1 + 0 + 6 + 582 + 0 + 0 + 7 + 9 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 86744975625 + 19837032336 = 294525^2 + 140844^2 .

It is not a de Polignac number, because 106582007961 - 2³ = 106582007953 is a prime.

It is a super-3 number, since 3×106582007961³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106582007941) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 140054821 + ... + 140055581.

Almost surely, 2^106582007961 is an apocalyptic number.

106582007961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106582007961 is the 326469-th square number.

106582007961 is the 163235-th centered octagonal number.

It is an amenable number.

106582007961 is a deficient number, since it is larger than the sum of its proper divisors (76897032420).

106582007961 is an equidigital number, since it uses as much as digits as its factorization.

106582007961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 106582007961 in words is "one hundred six billion, five hundred eighty-two million, seven thousand, nine hundred sixty-one".