106055509977 has 16 divisors (see below), whose sum is σ = 157126200000. Its totient is φ = 70700556672.

The previous prime is 106055509969. The next prime is 106055509991. The reversal of 106055509977 is 779905550601.

106055509977 is a `hidden beast` number, since 1 + 0 + 60 + 5 + 5 + 509 + 9 + 77 = 666.

It is not a de Polignac number, because 106055509977 - 2³ = 106055509969 is a prime.

It is a super-2 number, since 2×106055509977² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106055509907) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651774 + ... + 798072.

It is an arithmetic number, because the mean of its divisors is an integer number (9820387500).

Almost surely, 2^106055509977 is an apocalyptic number.

It is an amenable number.

106055509977 is a deficient number, since it is larger than the sum of its proper divisors (51070690023).

106055509977 is a wasteful number, since it uses less digits than its factorization.

106055509977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173157 (or 173151 counting only the distinct ones).

The product of its (nonzero) digits is 2976750, while the sum is 54.

The spelling of 106055509977 in words is "one hundred six billion, fifty-five million, five hundred nine thousand, nine hundred seventy-seven".