106508894976 has 288 divisors, whose sum is σ = 350095011840. Its totient is φ = 31665254400.

The previous prime is 106508894959. The next prime is 106508895011. The reversal of 106508894976 is 679498805601.

106508894976 is a `hidden beast` number, since 1 + 0 + 6 + 508 + 89 + 49 + 7 + 6 = 666.

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

It is a super-2 number, since 2×106508894976² (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, 4016481 + ... + 4042911.

It is an arithmetic number, because the mean of its divisors is an integer number (1215607680).

Almost surely, 2^106508894976 is an apocalyptic number.

106508894976 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 106508894976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175047505920).

106508894976 is an abundant number, since it is smaller than the sum of its proper divisors (243586116864).

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

106508894976 is a wasteful number, since it uses less digits than its factorization.

106508894976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26520 (or 26500 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 106508894976 in words is "one hundred six billion, five hundred eight million, eight hundred ninety-four thousand, nine hundred seventy-six".