106975028160 has 3360 divisors, whose sum is σ = 565072865280. Its totient is φ = 18811699200.

The previous prime is 106975028131. The next prime is 106975028203. The reversal of 106975028160 is 61820579601.

106975028160 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 7 + 502 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×106975028160² (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 479 ways as a sum of consecutive naturals, for example, 3450807345 + ... + 3450807375.

It is an arithmetic number, because the mean of its divisors is an integer number (168176448).

Almost surely, 2^106975028160 is an apocalyptic number.

106975028160 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 106975028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282536432640).

106975028160 is an abundant number, since it is smaller than the sum of its proper divisors (458097837120).

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

106975028160 is a wasteful number, since it uses less digits than its factorization.

106975028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 106975028160 in words is "one hundred six billion, nine hundred seventy-five million, twenty-eight thousand, one hundred sixty".