106825160840 has 16 divisors (see below), whose sum is σ = 240356611980. Its totient is φ = 42730064320.

The previous prime is 106825160801. The next prime is 106825160851. The reversal of 106825160840 is 48061528601.

It can be written as a sum of positive squares in 2 ways, for example, as 94520583364 + 12304577476 = 307442^2 + 110926^2 .

It is a super-2 number, since 2×106825160840² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1335314471 + ... + 1335314550.

Almost surely, 2^106825160840 is an apocalyptic number.

106825160840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106825160840 is an abundant number, since it is smaller than the sum of its proper divisors (133531451140).

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

106825160840 is a wasteful number, since it uses less digits than its factorization.

106825160840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670629032 (or 2670629028 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 106825160840 in words is "one hundred six billion, eight hundred twenty-five million, one hundred sixty thousand, eight hundred forty".