106995136 has 56 divisors (see below), whose sum is σ = 221081600. Its totient is φ = 51321600.

The previous prime is 106995121. The next prime is 106995139. The reversal of 106995136 is 631599601.

It is a super-2 number, since 2×106995136² = 22895918255316992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106995139) 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 7 ways as a sum of consecutive naturals, for example, 394681 + ... + 394951.

Almost surely, 2^106995136 is an apocalyptic number.

106995136 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 106995136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110540800).

106995136 is an abundant number, since it is smaller than the sum of its proper divisors (114086464).

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

106995136 is a wasteful number, since it uses less digits than its factorization.

106995136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 40.

The square root of 106995136 is about 10343.8453198025. The cubic root of 106995136 is about 474.7387460852.

The spelling of 106995136 in words is "one hundred six million, nine hundred ninety-five thousand, one hundred thirty-six".