106925312 has 108 divisors (see below), whose sum is σ = 245310660. Its totient is φ = 46227456.

The previous prime is 106925303. The next prime is 106925317. The reversal of 106925312 is 213529601.

It can be written as a sum of positive squares in 2 ways, for example, as 18113536 + 88811776 = 4256^2 + 9424^2 .

It is a super-2 number, since 2×106925312² = 22866044692594688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106925317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1201364 + ... + 1201452.

It is an arithmetic number, because the mean of its divisors is an integer number (2271395).

Almost surely, 2^106925312 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 106925312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122655330).

106925312 is an abundant number, since it is smaller than the sum of its proper divisors (138385348).

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

106925312 is an equidigital number, since it uses as much as digits as its factorization.

106925312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 106925312 is about 10340.4696218305. The cubic root of 106925312 is about 474.6354536279.

The spelling of 106925312 in words is "one hundred six million, nine hundred twenty-five thousand, three hundred twelve".