106942268560 has 80 divisors (see below), whose sum is σ = 263487104496. Its totient is φ = 40226914304.

The previous prime is 106942268551. The next prime is 106942268567. The reversal of 106942268560 is 65862249601.

It can be written as a sum of positive squares in 8 ways, for example, as 1405650064 + 105536618496 = 37492^2 + 324864^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106942268560² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106942268567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1622814 + ... + 1687426.

Almost surely, 2^106942268560 is an apocalyptic number.

106942268560 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 106942268560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131743552248).

106942268560 is an abundant number, since it is smaller than the sum of its proper divisors (156544835936).

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

106942268560 is a wasteful number, since it uses less digits than its factorization.

106942268560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65860 (or 65854 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 106942268560 in words is "one hundred six billion, nine hundred forty-two million, two hundred sixty-eight thousand, five hundred sixty".