106464306 has 64 divisors (see below), whose sum is σ = 237178368. Its totient is φ = 31653888.

The previous prime is 106464301. The next prime is 106464311. The reversal of 106464306 is 603464601.

It is an interprime number because it is at equal distance from previous prime (106464301) and next prime (106464311).

It is a super-2 number, since 2×106464306² = 22669296904123272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106464301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414130 + ... + 414386.

It is an arithmetic number, because the mean of its divisors is an integer number (3705912).

Almost surely, 2^106464306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106464306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118589184).

106464306 is an abundant number, since it is smaller than the sum of its proper divisors (130714062).

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

106464306 is a wasteful number, since it uses less digits than its factorization.

106464306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435.

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 106464306 is about 10318.1541953975. The cubic root of 106464306 is about 473.9523443695.

The spelling of 106464306 in words is "one hundred six million, four hundred sixty-four thousand, three hundred six".