106312079880 has 256 divisors, whose sum is σ = 358434720000. Its totient is φ = 28026169344.

The previous prime is 106312079849. The next prime is 106312079891. The reversal of 106312079880 is 88970213601.

106312079880 is a `hidden beast` number, since 1 + 0 + 631 + 2 + 0 + 7 + 9 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×106312079880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101345596 + ... + 101346644.

It is an arithmetic number, because the mean of its divisors is an integer number (1400135625).

Almost surely, 2^106312079880 is an apocalyptic number.

106312079880 is a gapful number since it is divisible by the number (10) 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 106312079880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179217360000).

106312079880 is an abundant number, since it is smaller than the sum of its proper divisors (252122640120).

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

106312079880 is a wasteful number, since it uses less digits than its factorization.

106312079880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 106312079880 in words is "one hundred six billion, three hundred twelve million, seventy-nine thousand, eight hundred eighty".