106601136 has 80 divisors (see below), whose sum is σ = 289314816. Its totient is φ = 33758208.

The previous prime is 106601083. The next prime is 106601137. The reversal of 106601136 is 631106601.

It is a super-2 number, since 2×106601136² = 22727604392980992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106601137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245976 + ... + 246408.

Almost surely, 2^106601136 is an apocalyptic number.

106601136 is a gapful number since it is divisible by the number (16) 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 106601136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144657408).

106601136 is an abundant number, since it is smaller than the sum of its proper divisors (182713680).

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

106601136 is a wasteful number, since it uses less digits than its factorization.

106601136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 106601136 is about 10324.7826127236. The cubic root of 106601136 is about 474.1553017079.

Adding to 106601136 its reverse (631106601), we get a palindrome (737707737).

The spelling of 106601136 in words is "one hundred six million, six hundred one thousand, one hundred thirty-six".