106438320 has 80 divisors (see below), whose sum is σ = 366628320. Its totient is φ = 28382976.

The previous prime is 106438313. The next prime is 106438331. The reversal of 106438320 is 23834601.

It is a happy number.

106438320 is a `hidden beast` number, since 10 + 643 + 8 + 3 + 2 + 0 = 666.

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

It is a super-2 number, since 2×106438320² = 22658231928844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 22479 + ... + 26798.

It is an arithmetic number, because the mean of its divisors is an integer number (4582854).

Almost surely, 2^106438320 is an apocalyptic number.

106438320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106438320 is an abundant number, since it is smaller than the sum of its proper divisors (260190000).

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

106438320 is a wasteful number, since it uses less digits than its factorization.

106438320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49299 (or 49287 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 106438320 is about 10316.8948816977. The cubic root of 106438320 is about 473.9137801838.

The spelling of 106438320 in words is "one hundred six million, four hundred thirty-eight thousand, three hundred twenty".