106388352 has 192 divisors, whose sum is σ = 356428800. Its totient is φ = 29832192.

The previous prime is 106388341. The next prime is 106388369. The reversal of 106388352 is 253883601.

106388352 is a `hidden beast` number, since 10 + 638 + 8 + 3 + 5 + 2 = 666.

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

It is a super-2 number, since 2×106388352² = 22636962882551808, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 636973 + ... + 637139.

It is an arithmetic number, because the mean of its divisors is an integer number (1856400).

Almost surely, 2^106388352 is an apocalyptic number.

106388352 is a gapful number since it is divisible by the number (12) 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 106388352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178214400).

106388352 is an abundant number, since it is smaller than the sum of its proper divisors (250040448).

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

106388352 is a wasteful number, since it uses less digits than its factorization.

106388352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 106388352 is about 10314.4729385461. The cubic root of 106388352 is about 473.8396081801.

The spelling of 106388352 in words is "one hundred six million, three hundred eighty-eight thousand, three hundred fifty-two".