106344576 has 192 divisors, whose sum is σ = 343062720. Its totient is φ = 32596992.

The previous prime is 106344569. The next prime is 106344583. The reversal of 106344576 is 675443601.

It is a happy number.

106344576 is a `hidden beast` number, since 10 + 634 + 4 + 5 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (106344569) and next prime (106344583).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×106344576² = 22618337689239552, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106344576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404221 + ... + 404483.

It is an arithmetic number, because the mean of its divisors is an integer number (1786785).

Almost surely, 2^106344576 is an apocalyptic number.

106344576 is a gapful number since it is divisible by the number (16) 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 106344576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171531360).

106344576 is an abundant number, since it is smaller than the sum of its proper divisors (236718144).

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

106344576 is an equidigital number, since it uses as much as digits as its factorization.

106344576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 106344576 is about 10312.3506534640. The cubic root of 106344576 is about 473.7746084316.

The spelling of 106344576 in words is "one hundred six million, three hundred forty-four thousand, five hundred seventy-six".