106829334720 has 168 divisors, whose sum is σ = 367694315664. Its totient is φ = 28468758528.

The previous prime is 106829334713. The next prime is 106829334737. The reversal of 106829334720 is 27433928601.

106829334720 is a `hidden beast` number, since 10 + 6 + 8 + 293 + 347 + 2 + 0 = 666.

It is a super-2 number, since 2×106829334720² (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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4587747 + ... + 4610973.

Almost surely, 2^106829334720 is an apocalyptic number.

106829334720 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 106829334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183847157832).

106829334720 is an abundant number, since it is smaller than the sum of its proper divisors (260864980944).

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

106829334720 is a wasteful number, since it uses less digits than its factorization.

106829334720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24847 (or 24834 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 106829334720 in words is "one hundred six billion, eight hundred twenty-nine million, three hundred thirty-four thousand, seven hundred twenty".