106695729294336 has 1760 divisors, whose sum is σ = 397632033469440. Its totient is φ = 27748820975616.

The previous prime is 106695729294263. The next prime is 106695729294353. The reversal of 106695729294336 is 633492927596601.

106695729294336 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 9 + 572 + 9 + 2 + 9 + 43 + 3 + 6 = 666.

It is a super-2 number, since 2×106695729294336² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 159 ways as a sum of consecutive naturals, for example, 212118745861 + ... + 212118746363.

It is an arithmetic number, because the mean of its divisors is an integer number (225927291744).

Almost surely, 2^{106695729294336} is an apocalyptic number.

106695729294336 is a gapful number since it is divisible by the number (16) 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 106695729294336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198816016734720).

106695729294336 is an abundant number, since it is smaller than the sum of its proper divisors (290936304175104).

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

106695729294336 is a wasteful number, since it uses less digits than its factorization.

106695729294336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 793618560, while the sum is 72.

The spelling of 106695729294336 in words is "one hundred six trillion, six hundred ninety-five billion, seven hundred twenty-nine million, two hundred ninety-four thousand, three hundred thirty-six".