106742328 has 192 divisors, whose sum is σ = 344736000. Its totient is φ = 26949120.

The previous prime is 106742327. The next prime is 106742329. The reversal of 106742328 is 823247601.

It is an interprime number because it is at equal distance from previous prime (106742327) and next prime (106742329).

It is a super-2 number, since 2×106742328² = 22787849173719168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106742327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1199308 + ... + 1199396.

It is an arithmetic number, because the mean of its divisors is an integer number (1795500).

Almost surely, 2^106742328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106742328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368000).

106742328 is an abundant number, since it is smaller than the sum of its proper divisors (237993672).

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

106742328 is a wasteful number, since it uses less digits than its factorization.

106742328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 106742328 is about 10331.6178791126. The cubic root of 106742328 is about 474.3645471337.

Adding to 106742328 its reverse (823247601), we get a palindrome (929989929).

The spelling of 106742328 in words is "one hundred six million, seven hundred forty-two thousand, three hundred twenty-eight".