106711642512 has 40 divisors (see below), whose sum is σ = 306301938080. Its totient is φ = 35570547360.

The previous prime is 106711642511. The next prime is 106711642517. The reversal of 106711642512 is 215246117601.

106711642512 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 1 + 1 + 642 + 5 + 1 + 2 = 666.

It is a super-2 number, since 2×106711642512² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106711642511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123508414 + ... + 123509277.

It is an arithmetic number, because the mean of its divisors is an integer number (7657548452).

Almost surely, 2^106711642512 is an apocalyptic number.

106711642512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106711642512 is an abundant number, since it is smaller than the sum of its proper divisors (199590295568).

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

106711642512 is a wasteful number, since it uses less digits than its factorization.

106711642512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247017708 (or 247017696 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 106711642512 in words is "one hundred six billion, seven hundred eleven million, six hundred forty-two thousand, five hundred twelve".