106512207156 has 18 divisors (see below), whose sum is σ = 269239190402. Its totient is φ = 35504069040.

The previous prime is 106512207097. The next prime is 106512207157. The reversal of 106512207156 is 651702215601.

106512207156 is a `hidden beast` number, since 1 + 0 + 6 + 512 + 20 + 71 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94703907600 + 11808299556 = 307740^2 + 108666^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×106512207156³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2958672421 = 106512207156 / (1 + 0 + 6 + 5 + 1 + 2 + 2 + 0 + 7 + 1 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 106512207156.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106512207157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1479336175 + ... + 1479336246.

Almost surely, 2^106512207156 is an apocalyptic number.

It is an amenable number.

106512207156 is an abundant number, since it is smaller than the sum of its proper divisors (162726983246).

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

106512207156 is a wasteful number, since it uses less digits than its factorization.

106512207156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958672431 (or 2958672426 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 106512207156 in words is "one hundred six billion, five hundred twelve million, two hundred seven thousand, one hundred fifty-six".