106729634286 has 224 divisors, whose sum is σ = 276392943360. Its totient is φ = 30579120000.

The previous prime is 106729634269. The next prime is 106729634321. The reversal of 106729634286 is 682436927601.

106729634286 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 296 + 342 + 8 + 6 = 666.

It is a super-2 number, since 2×106729634286² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 32828161 + ... + 32831411.

Almost surely, 2^106729634286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106729634286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138196471680).

106729634286 is an abundant number, since it is smaller than the sum of its proper divisors (169663309074).

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

106729634286 is a wasteful number, since it uses less digits than its factorization.

106729634286 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3394 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 106729634286 in words is "one hundred six billion, seven hundred twenty-nine million, six hundred thirty-four thousand, two hundred eighty-six".