106209312 has 96 divisors (see below), whose sum is σ = 311351040. Its totient is φ = 31422720.

The previous prime is 106209293. The next prime is 106209359. The reversal of 106209312 is 213902601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106209312² = 22560835911026688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44239 + ... + 46577.

It is an arithmetic number, because the mean of its divisors is an integer number (3243240).

Almost surely, 2^106209312 is an apocalyptic number.

106209312 is a gapful number since it is divisible by the number (12) 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 106209312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675520).

106209312 is an abundant number, since it is smaller than the sum of its proper divisors (205141728).

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

106209312 is a wasteful number, since it uses less digits than its factorization.

106209312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 106209312 is about 10305.7902171546. The cubic root of 106209312 is about 473.5736521287.

The spelling of 106209312 in words is "one hundred six million, two hundred nine thousand, three hundred twelve".