106464420 has 36 divisors (see below), whose sum is σ = 322942620. Its totient is φ = 28390464.

The previous prime is 106464389. The next prime is 106464433. The reversal of 106464420 is 24464601.

106464420 is a `hidden beast` number, since 10 + 6 + 4 + 644 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12916836 + 93547584 = 3594^2 + 9672^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106464420² = 22669345451872800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295555 + ... + 295914.

Almost surely, 2^106464420 is an apocalyptic number.

106464420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106464420 is an abundant number, since it is smaller than the sum of its proper divisors (216478200).

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

106464420 is a wasteful number, since it uses less digits than its factorization.

106464420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591484 (or 591479 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 106464420 is about 10318.1597196399. The cubic root of 106464420 is about 473.9525135359.

The spelling of 106464420 in words is "one hundred six million, four hundred sixty-four thousand, four hundred twenty".