106704836016 has 160 divisors (see below), whose sum is σ = 292676267520. Its totient is φ = 33439795200.

The previous prime is 106704835997. The next prime is 106704836087. The reversal of 106704836016 is 610638407601.

It is a super-2 number, since 2×106704836016² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36010951 + ... + 36013913.

It is an arithmetic number, because the mean of its divisors is an integer number (1829226672).

Almost surely, 2^106704836016 is an apocalyptic number.

106704836016 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 106704836016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146338133760).

106704836016 is an abundant number, since it is smaller than the sum of its proper divisors (185971431504).

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

106704836016 is a wasteful number, since it uses less digits than its factorization.

106704836016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 106704836016 in words is "one hundred six billion, seven hundred four million, eight hundred thirty-six thousand, sixteen".