106853994240 has 576 divisors, whose sum is σ = 410971545600. Its totient is φ = 23626874880.

The previous prime is 106853994229. The next prime is 106853994263. The reversal of 106853994240 is 42499358601.

It is a super-4 number, since 4×106853994240⁴ (a number of 45 digits) contains 4444 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40829412 + ... + 40832028.

Almost surely, 2^106853994240 is an apocalyptic number.

106853994240 is a gapful number since it is divisible by the number (10) 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 106853994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205485772800).

106853994240 is an abundant number, since it is smaller than the sum of its proper divisors (304117551360).

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

106853994240 is an equidigital number, since it uses as much as digits as its factorization.

106853994240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 106853994240 in words is "one hundred six billion, eight hundred fifty-three million, nine hundred ninety-four thousand, two hundred forty".