106434604640 has 144 divisors (see below), whose sum is σ = 311180069088. Its totient is φ = 33684738048.

The previous prime is 106434604597. The next prime is 106434604721. The reversal of 106434604640 is 46406434601.

It is a super-2 number, since 2×106434604640² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 106434604594 and 106434604603.

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, 91877 + ... + 470436.

It is an arithmetic number, because the mean of its divisors is an integer number (2160972702).

Almost surely, 2^106434604640 is an apocalyptic number.

106434604640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106434604640 is an abundant number, since it is smaller than the sum of its proper divisors (204745464448).

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

106434604640 is a wasteful number, since it uses less digits than its factorization.

106434604640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562361 (or 562340 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 106434604640 in words is "one hundred six billion, four hundred thirty-four million, six hundred four thousand, six hundred forty".