106005655551051 has 12 divisors (see below), whose sum is σ = 155714522279160. Its totient is φ = 69472633016160.

The previous prime is 106005655551043. The next prime is 106005655551101. The reversal of 106005655551051 is 150155556500601.

106005655551051 is a `hidden beast` number, since 10 + 60 + 0 + 5 + 65 + 5 + 5 + 510 + 5 + 1 = 666.

It is not a de Polignac number, because 106005655551051 - 2³ = 106005655551043 is a prime.

It is a super-2 number, since 2×106005655551051² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106005655550988 and 106005655551006.

It is not an unprimeable number, because it can be changed into a prime (106005655551011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99817000930 + ... + 99817001991.

It is an arithmetic number, because the mean of its divisors is an integer number (12976210189930).

Almost surely, 2^{106005655551051} is an apocalyptic number.

106005655551051 is a deficient number, since it is larger than the sum of its proper divisors (49708866728109).

106005655551051 is a wasteful number, since it uses less digits than its factorization.

106005655551051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199634002986 (or 199634002983 counting only the distinct ones).

The product of its (nonzero) digits is 562500, while the sum is 45.

The spelling of 106005655551051 in words is "one hundred six trillion, five billion, six hundred fifty-five million, five hundred fifty-one thousand, fifty-one".