106621440 has 80 divisors (see below), whose sum is σ = 340879968. Its totient is φ = 28430336.

The previous prime is 106621423. The next prime is 106621441. The reversal of 106621440 is 44126601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106621440² = 22736262935347200, 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 106621440.

It is not an unprimeable number, because it can be changed into a prime (106621441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 739 + ... + 14621.

Almost surely, 2^106621440 is an apocalyptic number.

106621440 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 106621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170439984).

106621440 is an abundant number, since it is smaller than the sum of its proper divisors (234258528).

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

106621440 is an equidigital number, since it uses as much as digits as its factorization.

106621440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13909 (or 13893 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 106621440 is about 10325.7658311624. The cubic root of 106621440 is about 474.1854034449.

The spelling of 106621440 in words is "one hundred six million, six hundred twenty-one thousand, four hundred forty".