106711020 has 168 divisors, whose sum is σ = 362473776. Its totient is φ = 26220672.

The previous prime is 106711019. The next prime is 106711037. The reversal of 106711020 is 20117601.

It is a super-2 number, since 2×106711020² = 22774483578880800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 106710984 and 106711002.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 189259 + ... + 189821.

It is an arithmetic number, because the mean of its divisors is an integer number (2157582).

Almost surely, 2^106711020 is an apocalyptic number.

106711020 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 106711020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181236888).

106711020 is an abundant number, since it is smaller than the sum of its proper divisors (255762756).

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

106711020 is a wasteful number, since it uses less digits than its factorization.

106711020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 106711020 is about 10330.1026132367. The cubic root of 106711020 is about 474.3181648542.

Adding to 106711020 its reverse (20117601), we get a palindrome (126828621).

The spelling of 106711020 in words is "one hundred six million, seven hundred eleven thousand, twenty".