106727105142 has 48 divisors (see below), whose sum is σ = 274064673792. Its totient is φ = 30493457640.

The previous prime is 106727105129. The next prime is 106727105249. The reversal of 106727105142 is 241501727601.

106727105142 is a `hidden beast` number, since 1 + 0 + 6 + 72 + 71 + 0 + 514 + 2 = 666.

It is a super-2 number, since 2×106727105142² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106727105097 and 106727105106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15682534 + ... + 15689337.

It is an arithmetic number, because the mean of its divisors is an integer number (5709680704).

Almost surely, 2^106727105142 is an apocalyptic number.

106727105142 is an abundant number, since it is smaller than the sum of its proper divisors (167337568650).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106727105142 is an equidigital number, since it uses as much as digits as its factorization.

106727105142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31371895 (or 31371883 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 106727105142 in words is "one hundred six billion, seven hundred twenty-seven million, one hundred five thousand, one hundred forty-two".