106414440 has 128 divisors (see below), whose sum is σ = 366681600. Its totient is φ = 24433920.

The previous prime is 106414423. The next prime is 106414463. The reversal of 106414440 is 44414601.

It is a super-2 number, since 2×106414440² = 22648066081027200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106414440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22959 + ... + 27201.

It is an arithmetic number, because the mean of its divisors is an integer number (2864700).

Almost surely, 2^106414440 is an apocalyptic number.

106414440 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 106414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183340800).

106414440 is an abundant number, since it is smaller than the sum of its proper divisors (260267160).

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

106414440 is a wasteful number, since it uses less digits than its factorization.

106414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 106414440 is about 10315.7374918132. The cubic root of 106414440 is about 473.8783358453.

The spelling of 106414440 in words is "one hundred six million, four hundred fourteen thousand, four hundred forty".