106053564864 has 224 divisors, whose sum is σ = 321770776320. Its totient is φ = 30538579968.

The previous prime is 106053564853. The next prime is 106053564901. The reversal of 106053564864 is 468465350601.

It is a super-3 number, since 3×106053564864³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7588347 + ... + 7602309.

It is an arithmetic number, because the mean of its divisors is an integer number (1436476680).

Almost surely, 2^106053564864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106053564864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160885388160).

106053564864 is an abundant number, since it is smaller than the sum of its proper divisors (215717211456).

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

106053564864 is a wasteful number, since it uses less digits than its factorization.

106053564864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14187 (or 14177 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 106053564864 in words is "one hundred six billion, fifty-three million, five hundred sixty-four thousand, eight hundred sixty-four".