106081141401 has 27 divisors (see below), whose sum is σ = 159153208383. Its totient is φ = 70703173080.

The previous prime is 106081141399. The next prime is 106081141409. The reversal of 106081141401 is 104141180601.

The square root of 106081141401 is 325701.

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

106081141401 is a `hidden beast` number, since 1 + 0 + 608 + 1 + 14 + 1 + 40 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6288331401 + 99792810000 = 79299^2 + 315900^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 106081141401 - 2¹ = 106081141399 is a prime.

It is a super-2 number, since 2×106081141401² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106081141409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26379771 + ... + 26383791.

Almost surely, 2^106081141401 is an apocalyptic number.

106081141401 is the 325701-st square number.

106081141401 is the 162851-st centered octagonal number.

It is an amenable number.

106081141401 is a deficient number, since it is larger than the sum of its proper divisors (53072066982).

106081141401 is an frugal number, since it uses more digits than its factorization.

106081141401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8066 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 106081141401 in words is "one hundred six billion, eighty-one million, one hundred forty-one thousand, four hundred one".