106177570801 has 3 divisors (see below), whose sum is σ = 106177896651. Its totient is φ = 106177244952.

The previous prime is 106177570739. The next prime is 106177570817. The reversal of 106177570801 is 108075771601.

The square root of 106177570801 is 325849.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 4442089201 + 101735481600 = 66649^2 + 318960^2 .

It is not a de Polignac number, because 106177570801 - 2⁷ = 106177570673 is a prime.

It is a super-2 number, since 2×106177570801² (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 (106177577801) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 162925 + ... + 488773.

It is an arithmetic number, because the mean of its divisors is an integer number (35392632217).

Almost surely, 2^106177570801 is an apocalyptic number.

106177570801 is the 325849-th square number.

106177570801 is the 162925-th centered octagonal number.

It is an amenable number.

106177570801 is a deficient number, since it is larger than the sum of its proper divisors (325850).

106177570801 is an frugal number, since it uses more digits than its factorization.

106177570801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651698 (or 325849 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 43.

The spelling of 106177570801 in words is "one hundred six billion, one hundred seventy-seven million, five hundred seventy thousand, eight hundred one".