106637328 has 240 divisors, whose sum is σ = 371404800. Its totient is φ = 28449792.

The previous prime is 106637273. The next prime is 106637353. The reversal of 106637328 is 823736601.

It is a happy number.

106637328 is a `hidden beast` number, since 10 + 6 + 637 + 3 + 2 + 8 = 666.

It is a super-2 number, since 2×106637328² = 22743039445959168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106637292 and 106637301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 839601 + ... + 839727.

It is an arithmetic number, because the mean of its divisors is an integer number (1547520).

Almost surely, 2^106637328 is an apocalyptic number.

106637328 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 106637328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185702400).

106637328 is an abundant number, since it is smaller than the sum of its proper divisors (264767472).

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

106637328 is a wasteful number, since it uses less digits than its factorization.

106637328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 106637328 is about 10326.5351401136. The cubic root of 106637328 is about 474.2089555670.

The spelling of 106637328 in words is "one hundred six million, six hundred thirty-seven thousand, three hundred twenty-eight".