106105440 has 192 divisors, whose sum is σ = 398877696. Its totient is φ = 23181312.

The previous prime is 106105411. The next prime is 106105459. The reversal of 106105440 is 44501601.

It is a super-2 number, since 2×106105440² = 22516728795187200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76594 + ... + 77966.

It is an arithmetic number, because the mean of its divisors is an integer number (2077488).

Almost surely, 2^106105440 is an apocalyptic number.

106105440 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 106105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199438848).

106105440 is an abundant number, since it is smaller than the sum of its proper divisors (292772256).

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

106105440 is a wasteful number, since it uses less digits than its factorization.

106105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 106105440 is about 10300.7494872946. The cubic root of 106105440 is about 473.4192178129.

The spelling of 106105440 in words is "one hundred six million, one hundred five thousand, four hundred forty".