106035640 has 32 divisors (see below), whose sum is σ = 238884480. Its totient is φ = 42360192.

The previous prime is 106035583. The next prime is 106035649. The reversal of 106035640 is 46530601.

It is a super-2 number, since 2×106035640² = 22487113900419200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106035649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48409 + ... + 50551.

It is an arithmetic number, because the mean of its divisors is an integer number (7465140).

Almost surely, 2^106035640 is an apocalyptic number.

106035640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106035640 is an abundant number, since it is smaller than the sum of its proper divisors (132848840).

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

106035640 is a wasteful number, since it uses less digits than its factorization.

106035640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 106035640 is about 10297.3608269304. The cubic root of 106035640 is about 473.3153842739.

The spelling of 106035640 in words is "one hundred six million, thirty-five thousand, six hundred forty".