106611736 has 64 divisors (see below), whose sum is σ = 262368000. Its totient is φ = 39346560.

The previous prime is 106611727. The next prime is 106611737. The reversal of 106611736 is 637116601.

It is a super-2 number, since 2×106611736² = 22732124505867392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106611698 and 106611707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106611737) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7150 + ... + 16258.

It is an arithmetic number, because the mean of its divisors is an integer number (4099500).

Almost surely, 2^106611736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106611736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131184000).

106611736 is an abundant number, since it is smaller than the sum of its proper divisors (155756264).

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

106611736 is a wasteful number, since it uses less digits than its factorization.

106611736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9152 (or 9148 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 106611736 is about 10325.2959279625. The cubic root of 106611736 is about 474.1710172365.

The spelling of 106611736 in words is "one hundred six million, six hundred eleven thousand, seven hundred thirty-six".