106891158528 has 1056 divisors, whose sum is σ = 410052943872. Its totient is φ = 26011238400.

The previous prime is 106891158511. The next prime is 106891158557. The reversal of 106891158528 is 825851198601.

106891158528 is a `hidden beast` number, since 1 + 0 + 68 + 9 + 1 + 1 + 58 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×106891158528² (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 95 ways as a sum of consecutive naturals, for example, 945939400 + ... + 945939512.

It is an arithmetic number, because the mean of its divisors is an integer number (388307712).

Almost surely, 2^106891158528 is an apocalyptic number.

106891158528 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 106891158528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205026471936).

106891158528 is an abundant number, since it is smaller than the sum of its proper divisors (303161785344).

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

106891158528 is a wasteful number, since it uses less digits than its factorization.

106891158528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 54.

The spelling of 106891158528 in words is "one hundred six billion, eight hundred ninety-one million, one hundred fifty-eight thousand, five hundred twenty-eight".