106507328 has 28 divisors (see below), whose sum is σ = 213456012. Its totient is φ = 52723200.

The previous prime is 106507307. The next prime is 106507337. The reversal of 106507328 is 823705601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 74787904 + 31719424 = 8648^2 + 5632^2 .

It is a super-2 number, since 2×106507328² = 22687621835399168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 106507294 and 106507303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1775 + ... + 14702.

It is an arithmetic number, because the mean of its divisors is an integer number (7623429).

Almost surely, 2^106507328 is an apocalyptic number.

It is an amenable number.

106507328 is an abundant number, since it is smaller than the sum of its proper divisors (106948684).

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

106507328 is a wasteful number, since it uses less digits than its factorization.

106507328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16590 (or 16580 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 106507328 is about 10320.2387569281. The cubic root of 106507328 is about 474.0161768174.

The spelling of 106507328 in words is "one hundred six million, five hundred seven thousand, three hundred twenty-eight".