106539971328 has 864 divisors, whose sum is σ = 390459596800. Its totient is φ = 28298170368.

The previous prime is 106539971311. The next prime is 106539971333. The reversal of 106539971328 is 823179935601.

106539971328 is a `hidden beast` number, since 1 + 0 + 6 + 539 + 9 + 71 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×106539971328² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 653619375 + ... + 653619537.

Almost surely, 2^106539971328 is an apocalyptic number.

106539971328 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 106539971328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195229798400).

106539971328 is an abundant number, since it is smaller than the sum of its proper divisors (283919625472).

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

106539971328 is an equidigital number, since it uses as much as digits as its factorization.

106539971328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 106539971328 in words is "one hundred six billion, five hundred thirty-nine million, nine hundred seventy-one thousand, three hundred twenty-eight".