106235136 has 162 divisors, whose sum is σ = 356689242. Its totient is φ = 30320640.

The previous prime is 106235089. The next prime is 106235147. The reversal of 106235136 is 631532601.

106235136 is a `hidden beast` number, since 1 + 0 + 623 + 5 + 1 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94945536 + 11289600 = 9744^2 + 3360^2 .

It is a super-2 number, since 2×106235136² = 22571808241876992, 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 17 ways as a sum of consecutive naturals, for example, 112426 + ... + 113366.

Almost surely, 2^106235136 is an apocalyptic number.

106235136 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 106235136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178344621).

106235136 is an abundant number, since it is smaller than the sum of its proper divisors (250454106).

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

106235136 is an equidigital number, since it uses as much as digits as its factorization.

106235136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 106235136 is about 10307.0430289196. The cubic root of 106235136 is about 473.6120309824.

Adding to 106235136 its reverse (631532601), we get a palindrome (737767737).

The spelling of 106235136 in words is "one hundred six million, two hundred thirty-five thousand, one hundred thirty-six".