106946440 has 64 divisors (see below), whose sum is σ = 255816000. Its totient is φ = 40124160.

The previous prime is 106946429. The next prime is 106946443. The reversal of 106946440 is 44649601.

It is a super-2 number, since 2×106946440² = 22875082057347200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106946396 and 106946405.

It is not an unprimeable number, because it can be changed into a prime (106946443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 82195 + ... + 83485.

It is an arithmetic number, because the mean of its divisors is an integer number (3997125).

Almost surely, 2^106946440 is an apocalyptic number.

106946440 is a gapful number since it is divisible by the number (10) 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 106946440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127908000).

106946440 is an abundant number, since it is smaller than the sum of its proper divisors (148869560).

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

106946440 is a wasteful number, since it uses less digits than its factorization.

106946440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 106946440 is about 10341.4911884119. The cubic root of 106946440 is about 474.6667135708. Note that the first 3 decimals are identical.

The spelling of 106946440 in words is "one hundred six million, nine hundred forty-six thousand, four hundred forty".