106485934464 has 864 divisors, whose sum is σ = 399281566320. Its totient is φ = 26998272000.

The previous prime is 106485934453. The next prime is 106485934481. The reversal of 106485934464 is 464439584601.

106485934464 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 8 + 593 + 4 + 46 + 4 = 666.

It is a super-2 number, since 2×106485934464² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106485934464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 705204789 + ... + 705204939.

Almost surely, 2^106485934464 is an apocalyptic number.

106485934464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106485934464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199640783160).

106485934464 is an abundant number, since it is smaller than the sum of its proper divisors (292795631856).

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

106485934464 is a wasteful number, since it uses less digits than its factorization.

106485934464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 106485934464 in words is "one hundred six billion, four hundred eighty-five million, nine hundred thirty-four thousand, four hundred sixty-four".