106255788961 has 9 divisors (see below), whose sum is σ = 123606327249. Its totient is φ = 91074434724.

The previous prime is 106255788929. The next prime is 106255789009. The reversal of 106255788961 is 169887552601.

It is a happy number.

The square root of 106255788961 is 325969.

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

It is not a de Polignac number, because 106255788961 - 2⁵ = 106255788929 is a prime.

It is a super-2 number, since 2×106255788961² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106255788896 and 106255788905.

It is not an unprimeable number, because it can be changed into a prime (106255788901) 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, 2258500 + ... + 2305066.

It is an arithmetic number, because the mean of its divisors is an integer number (13734036361).

Almost surely, 2^106255788961 is an apocalyptic number.

106255788961 is the 325969-th square number.

106255788961 is the 162985-th centered octagonal number.

It is an amenable number.

106255788961 is a deficient number, since it is larger than the sum of its proper divisors (17350538288).

106255788961 is an frugal number, since it uses more digits than its factorization.

106255788961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93148 (or 46574 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 58.

The spelling of 106255788961 in words is "one hundred six billion, two hundred fifty-five million, seven hundred eighty-eight thousand, nine hundred sixty-one".