106399440 has 320 divisors, whose sum is σ = 434257920. Its totient is φ = 23431680.

The previous prime is 106399439. The next prime is 106399441. The reversal of 106399440 is 44993601.

106399440 is a `hidden beast` number, since 10 + 639 + 9 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106399439) and next prime (106399441).

It is a super-2 number, since 2×106399440² = 22641681664627200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106399395 and 106399404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106399441) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 468607 + ... + 468833.

It is an arithmetic number, because the mean of its divisors is an integer number (1357056).

Almost surely, 2^106399440 is an apocalyptic number.

106399440 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 106399440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217128960).

106399440 is an abundant number, since it is smaller than the sum of its proper divisors (327858480).

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

106399440 is a wasteful number, since it uses less digits than its factorization.

106399440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 106399440 is about 10315.0104217107. The cubic root of 106399440 is about 473.8560691020.

The spelling of 106399440 in words is "one hundred six million, three hundred ninety-nine thousand, four hundred forty".