106603536 has 160 divisors (see below), whose sum is σ = 316229760. Its totient is φ = 30707712.

The previous prime is 106603489. The next prime is 106603537. The reversal of 106603536 is 635306601.

It is a super-2 number, since 2×106603536² = 22728627775406592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106603537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 778060 + ... + 778196.

It is an arithmetic number, because the mean of its divisors is an integer number (1976436).

Almost surely, 2^106603536 is an apocalyptic number.

106603536 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 106603536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158114880).

106603536 is an abundant number, since it is smaller than the sum of its proper divisors (209626224).

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

106603536 is a wasteful number, since it uses less digits than its factorization.

106603536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 106603536 is about 10324.8988372768. The cubic root of 106603536 is about 474.1588600320.

It can be divided in two parts, 10660 and 3536, that added together give a triangular number (14196 = T₁₆₈).

The spelling of 106603536 in words is "one hundred six million, six hundred three thousand, five hundred thirty-six".