106563741240 has 512 divisors, whose sum is σ = 388310630400. Its totient is φ = 23099904000.

The previous prime is 106563741227. The next prime is 106563741257. The reversal of 106563741240 is 42147365601.

It is a happy number.

It is a super-2 number, since 2×106563741240² (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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31875009 + ... + 31878351.

It is an arithmetic number, because the mean of its divisors is an integer number (758419200).

Almost surely, 2^106563741240 is an apocalyptic number.

106563741240 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 106563741240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194155315200).

106563741240 is an abundant number, since it is smaller than the sum of its proper divisors (281746889160).

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

106563741240 is a wasteful number, since it uses less digits than its factorization.

106563741240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3459 (or 3455 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 106563741240 in words is "one hundred six billion, five hundred sixty-three million, seven hundred forty-one thousand, two hundred forty".