106561542012 has 48 divisors (see below), whose sum is σ = 255728727072. Its totient is φ = 34511097600.

The previous prime is 106561541963. The next prime is 106561542013. The reversal of 106561542012 is 210245165601.

It is a super-2 number, since 2×106561542012² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106561542013) 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 15 ways as a sum of consecutive naturals, for example, 140058 + ... + 482430.

It is an arithmetic number, because the mean of its divisors is an integer number (5327681814).

Almost surely, 2^106561542012 is an apocalyptic number.

106561542012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106561542012 is an abundant number, since it is smaller than the sum of its proper divisors (149167185060).

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

106561542012 is a wasteful number, since it uses less digits than its factorization.

106561542012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343118 (or 343116 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 106561542012 in words is "one hundred six billion, five hundred sixty-one million, five hundred forty-two thousand, twelve".