106277075120 has 20 divisors (see below), whose sum is σ = 247094199840. Its totient is φ = 42510830016.

The previous prime is 106277075119. The next prime is 106277075147. The reversal of 106277075120 is 21570772601.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×106277075120² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 664231640 + ... + 664231799.

It is an arithmetic number, because the mean of its divisors is an integer number (12354709992).

Almost surely, 2^106277075120 is an apocalyptic number.

106277075120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106277075120 is an abundant number, since it is smaller than the sum of its proper divisors (140817124720).

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

106277075120 is a wasteful number, since it uses less digits than its factorization.

106277075120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328463452 (or 1328463446 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 38.

The spelling of 106277075120 in words is "one hundred six billion, two hundred seventy-seven million, seventy-five thousand, one hundred twenty".