106302351420 has 72 divisors (see below), whose sum is σ = 327263196624. Its totient is φ = 27924196608.

The previous prime is 106302351413. The next prime is 106302351431. The reversal of 106302351420 is 24153203601.

106302351420 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 0 + 235 + 1 + 420 = 666.

It is a super-3 number, since 3×106302351420³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4395169 + ... + 4419288.

Almost surely, 2^106302351420 is an apocalyptic number.

106302351420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106302351420 is an abundant number, since it is smaller than the sum of its proper divisors (220960845204).

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

106302351420 is a wasteful number, since it uses less digits than its factorization.

106302351420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8814539 (or 8814534 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 106302351420 in words is "one hundred six billion, three hundred two million, three hundred fifty-one thousand, four hundred twenty".