106430248709064 has 48 divisors (see below), whose sum is σ = 329426960291520. Its totient is φ = 30408642488160.

The previous prime is 106430248709041. The next prime is 106430248709107. The reversal of 106430248709064 is 460907842034601.

106430248709064 is a `hidden beast` number, since 10 + 6 + 4 + 3 + 0 + 2 + 487 + 0 + 90 + 64 = 666.

It is a super-3 number, since 3×106430248709064³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106430248709064.

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, 105585563692 + ... + 105585564699.

It is an arithmetic number, because the mean of its divisors is an integer number (6863061672740).

Almost surely, 2^{106430248709064} is an apocalyptic number.

106430248709064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106430248709064 is an abundant number, since it is smaller than the sum of its proper divisors (222996711582456).

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

106430248709064 is a wasteful number, since it uses less digits than its factorization.

106430248709064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211171128410 (or 211171128403 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 106430248709064 in words is "one hundred six trillion, four hundred thirty billion, two hundred forty-eight million, seven hundred nine thousand, sixty-four".