106849964160 has 160 divisors (see below), whose sum is σ = 381580699500. Its totient is φ = 28493309952.

The previous prime is 106849964159. The next prime is 106849964189. The reversal of 106849964160 is 61469948601.

It is a happy number.

106849964160 is a `hidden beast` number, since 106 + 8 + 499 + 6 + 41 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96790676544 + 10059287616 = 311112^2 + 100296^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×106849964160² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 106849964097 and 106849964106.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 978735 + ... + 1082414.

Almost surely, 2^106849964160 is an apocalyptic number.

106849964160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106849964160 is an abundant number, since it is smaller than the sum of its proper divisors (274730735340).

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

106849964160 is an equidigital number, since it uses as much as digits as its factorization.

106849964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061180 (or 2061159 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 106849964160 in words is "one hundred six billion, eight hundred forty-nine million, nine hundred sixty-four thousand, one hundred sixty".