106986502944 has 360 divisors, whose sum is σ = 339926645520. Its totient is φ = 32987098368.

The previous prime is 106986502927. The next prime is 106986502967. The reversal of 106986502944 is 449205689601.

106986502944 is a `hidden beast` number, since 1 + 0 + 6 + 98 + 6 + 502 + 9 + 44 = 666.

It is a super-2 number, since 2×106986502944² (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 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 59 ways as a sum of consecutive naturals, for example, 40234287 + ... + 40236945.

It is an arithmetic number, because the mean of its divisors is an integer number (944240682).

Almost surely, 2^106986502944 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 106986502944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169963322760).

106986502944 is an abundant number, since it is smaller than the sum of its proper divisors (232940142576).

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

106986502944 is a wasteful number, since it uses less digits than its factorization.

106986502944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 106986502944 in words is "one hundred six billion, nine hundred eighty-six million, five hundred two thousand, nine hundred forty-four".