106711000 has 128 divisors (see below), whose sum is σ = 277992000. Its totient is φ = 38016000.

The previous prime is 106710991. The next prime is 106711013. The reversal of 106711000 is 117601.

It is a super-2 number, since 2×106711000² = 22774475042000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 978946 + ... + 979054.

Almost surely, 2^106711000 is an apocalyptic number.

106711000 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 106711000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138996000).

106711000 is an abundant number, since it is smaller than the sum of its proper divisors (171281000).

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

106711000 is a wasteful number, since it uses less digits than its factorization.

106711000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 106711000 is about 10330.1016451921. The cubic root of 106711000 is about 474.3181352216.

Adding to 106711000 its reverse (117601), we get a palindrome (106828601).

The spelling of 106711000 in words is "one hundred six million, seven hundred eleven thousand".