106438077760 has 224 divisors, whose sum is σ = 294574325760. Its totient is φ = 35878422528.

The previous prime is 106438077721. The next prime is 106438077763. The reversal of 106438077760 is 67770834601.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×106438077760² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106438077763) 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 31 ways as a sum of consecutive naturals, for example, 46539337 + ... + 46541623.

Almost surely, 2^106438077760 is an apocalyptic number.

106438077760 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 106438077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147287162880).

106438077760 is an abundant number, since it is smaller than the sum of its proper divisors (188136248000).

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

106438077760 is a wasteful number, since it uses less digits than its factorization.

106438077760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 49.

The spelling of 106438077760 in words is "one hundred six billion, four hundred thirty-eight million, seventy-seven thousand, seven hundred sixty".