106336502144 has 64 divisors (see below), whose sum is σ = 220821044400. Its totient is φ = 50942760960.

The previous prime is 106336502131. The next prime is 106336502183. The reversal of 106336502144 is 441205633601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106336502144² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376934 + ... + 595610.

Almost surely, 2^106336502144 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 106336502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110410522200).

106336502144 is an abundant number, since it is smaller than the sum of its proper divisors (114484542256).

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

106336502144 is a wasteful number, since it uses less digits than its factorization.

106336502144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218851 (or 218839 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 106336502144 in words is "one hundred six billion, three hundred thirty-six million, five hundred two thousand, one hundred forty-four".