106408320 has 128 divisors (see below), whose sum is σ = 342303840. Its totient is φ = 28114944.

The previous prime is 106408319. The next prime is 106408331. The reversal of 106408320 is 23804601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106408320² = 22645461130444800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301264 + ... + 301616.

Almost surely, 2^106408320 is an apocalyptic number.

106408320 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 106408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171151920).

106408320 is an abundant number, since it is smaller than the sum of its proper divisors (235895520).

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

106408320 is a wasteful number, since it uses less digits than its factorization.

106408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 520 counting only the distinct ones).

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

The square root of 106408320 is about 10315.4408534003. The cubic root of 106408320 is about 473.8692512667.

The spelling of 106408320 in words is "one hundred six million, four hundred eight thousand, three hundred twenty".