106711840 has 48 divisors (see below), whose sum is σ = 252738360. Its totient is φ = 42577920.

The previous prime is 106711837. The next prime is 106711859. The reversal of 106711840 is 48117601.

It can be written as a sum of positive squares in 4 ways, for example, as 90098064 + 16613776 = 9492^2 + 4076^2 .

It is a super-2 number, since 2×106711840² = 22774833592371200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106711799 and 106711808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105256 + ... + 106264.

Almost surely, 2^106711840 is an apocalyptic number.

106711840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106711840 is an abundant number, since it is smaller than the sum of its proper divisors (146026520).

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

106711840 is a wasteful number, since it uses less digits than its factorization.

106711840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 106711840 is about 10330.1423029889. The cubic root of 106711840 is about 474.3193797862.

The spelling of 106711840 in words is "one hundred six million, seven hundred eleven thousand, eight hundred forty".