106529679360 has 768 divisors, whose sum is σ = 413106220800. Its totient is φ = 25883836416.

The previous prime is 106529679353. The next prime is 106529679419. The reversal of 106529679360 is 63976925601.

106529679360 is a `hidden beast` number, since 10 + 6 + 529 + 6 + 79 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×106529679360² (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 junction number, because it is equal to n+sod(n) for n = 106529679297 and 106529679306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 384583542 + ... + 384583818.

It is an arithmetic number, because the mean of its divisors is an integer number (537898725).

Almost surely, 2^106529679360 is an apocalyptic number.

106529679360 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 106529679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206553110400).

106529679360 is an abundant number, since it is smaller than the sum of its proper divisors (306576541440).

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

106529679360 is a wasteful number, since it uses less digits than its factorization.

106529679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 106529679360 in words is "one hundred six billion, five hundred twenty-nine million, six hundred seventy-nine thousand, three hundred sixty".