106079999952 has 80 divisors (see below), whose sum is σ = 282867520320. Its totient is φ = 34234137600.

The previous prime is 106079999951. The next prime is 106080000011. The reversal of 106079999952 is 259999970601.

106079999952 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106079999952² (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 (106079999951) 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, 52074 + ... + 463542.

It is an arithmetic number, because the mean of its divisors is an integer number (3535844004).

Almost surely, 2^106079999952 is an apocalyptic number.

106079999952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106079999952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141433760160).

106079999952 is an abundant number, since it is smaller than the sum of its proper divisors (176787520368).

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

106079999952 is a wasteful number, since it uses less digits than its factorization.

106079999952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411652 (or 411646 counting only the distinct ones).

The product of its (nonzero) digits is 24800580, while the sum is 66.

The spelling of 106079999952 in words is "one hundred six billion, seventy-nine million, nine hundred ninety-nine thousand, nine hundred fifty-two".