106952040 has 96 divisors (see below), whose sum is σ = 374348520. Its totient is φ = 26325504.

The previous prime is 106952023. The next prime is 106952099. The reversal of 106952040 is 40259601.

It can be written as a sum of positive squares in 4 ways, for example, as 47692836 + 59259204 = 6906^2 + 7698^2 .

It is a super-2 number, since 2×106952040² = 22877477720323200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106951995 and 106952013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6747 + ... + 16106.

Almost surely, 2^106952040 is an apocalyptic number.

106952040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106952040 is an abundant number, since it is smaller than the sum of its proper divisors (267396480).

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

106952040 is a wasteful number, since it uses less digits than its factorization.

106952040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22883 (or 22876 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106952040 is about 10341.7619388574. The cubic root of 106952040 is about 474.6749983633.

The spelling of 106952040 in words is "one hundred six million, nine hundred fifty-two thousand, forty".