106780842600 has 192 divisors, whose sum is σ = 334778572800. Its totient is φ = 28152718080.

The previous prime is 106780842569. The next prime is 106780842601. The reversal of 106780842600 is 6248087601.

It is a super-2 number, since 2×106780842600² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106780842601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 39738457 + ... + 39741143.

It is an arithmetic number, because the mean of its divisors is an integer number (1743638400).

Almost surely, 2^106780842600 is an apocalyptic number.

106780842600 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 106780842600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167389286400).

106780842600 is an abundant number, since it is smaller than the sum of its proper divisors (227997730200).

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

106780842600 is a wasteful number, since it uses less digits than its factorization.

106780842600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 106780842600 in words is "one hundred six billion, seven hundred eighty million, eight hundred forty-two thousand, six hundred".