106054320 has 80 divisors (see below), whose sum is σ = 330907392. Its totient is φ = 28097280.

The previous prime is 106054309. The next prime is 106054337. The reversal of 106054320 is 23450601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106054320² = 22495037581324800, which contains 22 as substring.

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, 37765 + ... + 40475.

Almost surely, 2^106054320 is an apocalyptic number.

106054320 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 106054320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165453696).

106054320 is an abundant number, since it is smaller than the sum of its proper divisors (224853072).

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

106054320 is a wasteful number, since it uses less digits than its factorization.

106054320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 106054320 is about 10298.2678155115. The cubic root of 106054320 is about 473.3431768545.

The spelling of 106054320 in words is "one hundred six million, fifty-four thousand, three hundred twenty".