106555852944 has 160 divisors (see below), whose sum is σ = 307558211840. Its totient is φ = 35321453568.

The previous prime is 106555852943. The next prime is 106555852969. The reversal of 106555852944 is 449258555601.

106555852944 is a `hidden beast` number, since 1 + 0 + 6 + 55 + 585 + 2 + 9 + 4 + 4 = 666.

106555852944 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106555852944² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (106555852943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73638429 + ... + 73639875.

It is an arithmetic number, because the mean of its divisors is an integer number (1922238824).

Almost surely, 2^106555852944 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 106555852944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153779105920).

106555852944 is an abundant number, since it is smaller than the sum of its proper divisors (201002358896).

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

106555852944 is a wasteful number, since it uses less digits than its factorization.

106555852944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 106555852944 in words is "one hundred six billion, five hundred fifty-five million, eight hundred fifty-two thousand, nine hundred forty-four".