106601829408 has 288 divisors, whose sum is σ = 327397412160. Its totient is φ = 34078786560.

The previous prime is 106601829403. The next prime is 106601829431. The reversal of 106601829408 is 804928106601.

106601829408 is a `hidden beast` number, since 1 + 0 + 6 + 60 + 182 + 9 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×106601829408² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106601829403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35402623 + ... + 35405633.

It is an arithmetic number, because the mean of its divisors is an integer number (1136796570).

Almost surely, 2^106601829408 is an apocalyptic number.

106601829408 is a gapful number since it is divisible by the number (18) 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 106601829408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163698706080).

106601829408 is an abundant number, since it is smaller than the sum of its proper divisors (220795582752).

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

106601829408 is a wasteful number, since it uses less digits than its factorization.

106601829408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3202 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 106601829408 in words is "one hundred six billion, six hundred one million, eight hundred twenty-nine thousand, four hundred eight".