106853160960 has 1536 divisors, whose sum is σ = 486085017600. Its totient is φ = 21658337280.

The previous prime is 106853160919. The next prime is 106853160971. The reversal of 106853160960 is 69061358601.

106853160960 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 5 + 31 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×106853160960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 779950012 + ... + 779950148.

It is an arithmetic number, because the mean of its divisors is an integer number (316461600).

Almost surely, 2^106853160960 is an apocalyptic number.

106853160960 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 106853160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243042508800).

106853160960 is an abundant number, since it is smaller than the sum of its proper divisors (379231856640).

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

106853160960 is a wasteful number, since it uses less digits than its factorization.

106853160960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 106853160960 in words is "one hundred six billion, eight hundred fifty-three million, one hundred sixty thousand, nine hundred sixty".