106521408 has 168 divisors, whose sum is σ = 361370880. Its totient is φ = 29352960.

The previous prime is 106521347. The next prime is 106521461. The reversal of 106521408 is 804125601.

106521408 is a `hidden beast` number, since 1 + 0 + 652 + 1 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×106521408² = 22693620724604928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 116473 + ... + 117383.

Almost surely, 2^106521408 is an apocalyptic number.

106521408 is a gapful number since it is divisible by the number (18) 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 106521408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180685440).

106521408 is an abundant number, since it is smaller than the sum of its proper divisors (254849472).

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

106521408 is a wasteful number, since it uses less digits than its factorization.

106521408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 106521408 is about 10320.9208891455. The cubic root of 106521408 is about 474.0370638112.

It can be divided in two parts, 106521 and 408, that added together give a square (106929 = 327²).

The spelling of 106521408 in words is "one hundred six million, five hundred twenty-one thousand, four hundred eight".