106955936 has 48 divisors (see below), whose sum is σ = 216001800. Its totient is φ = 52116480.

The previous prime is 106955917. The next prime is 106955999. The reversal of 106955936 is 639559601.

It can be written as a sum of positive squares in 4 ways, for example, as 64705936 + 42250000 = 8044^2 + 6500^2 .

It is a super-2 number, since 2×106955936² = 22879144491272192, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306290 + ... + 306638.

Almost surely, 2^106955936 is an apocalyptic number.

106955936 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 106955936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108000900).

106955936 is an abundant number, since it is smaller than the sum of its proper divisors (109045864).

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

106955936 is a wasteful number, since it uses less digits than its factorization.

106955936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 44.

The square root of 106955936 is about 10341.9502996292. The cubic root of 106955936 is about 474.6807620413.

The spelling of 106955936 in words is "one hundred six million, nine hundred fifty-five thousand, nine hundred thirty-six".