106557082377201 has 45 divisors (see below), whose sum is σ = 159879981911881. Its totient is φ = 70726083820056.

The previous prime is 106557082377121. The next prime is 106557082377259. The reversal of 106557082377201 is 102773280755601.

The square root of 106557082377201 is 10322649.

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

106557082377201 is a `hidden beast` number, since 1 + 0 + 6 + 557 + 0 + 82 + 3 + 7 + 7 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 106557082377201 - 2¹³ = 106557082369009 is a prime.

It is a super-2 number, since 2×106557082377201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106557082377401) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 22204015600 + ... + 22204020398.

Almost surely, 2^{106557082377201} is an apocalyptic number.

106557082377201 is the 10322649-th square number.

106557082377201 is the 5161325-th centered octagonal number.

It is an amenable number.

106557082377201 is a deficient number, since it is larger than the sum of its proper divisors (53322899534680).

106557082377201 is an frugal number, since it uses more digits than its factorization.

106557082377201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10088 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 106557082377201 in words is "one hundred six trillion, five hundred fifty-seven billion, eighty-two million, three hundred seventy-seven thousand, two hundred one".