106419712 has 80 divisors (see below), whose sum is σ = 253769472. Its totient is φ = 43591680.

The previous prime is 106419697. The next prime is 106419713. The reversal of 106419712 is 217914601.

It is a super-2 number, since 2×106419712² = 22650310204325888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106419713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81787 + ... + 83077.

Almost surely, 2^106419712 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 106419712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126884736).

106419712 is an abundant number, since it is smaller than the sum of its proper divisors (147349760).

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

106419712 is an equidigital number, since it uses as much as digits as its factorization.

106419712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 106419712 is about 10315.9930205482. The cubic root of 106419712 is about 473.8861613664.

The spelling of 106419712 in words is "one hundred six million, four hundred nineteen thousand, seven hundred twelve".