106568713350 has 288 divisors, whose sum is σ = 329401238400. Its totient is φ = 24429081600.

The previous prime is 106568713319. The next prime is 106568713379. The reversal of 106568713350 is 53317865601.

106568713350 is a `hidden beast` number, since 1 + 0 + 6 + 568 + 7 + 1 + 33 + 50 = 666.

It is a super-2 number, since 2×106568713350² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106568713296 and 106568713305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 94895889 + ... + 94897011.

It is an arithmetic number, because the mean of its divisors is an integer number (1143754300).

Almost surely, 2^106568713350 is an apocalyptic number.

106568713350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106568713350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164700619200).

106568713350 is an abundant number, since it is smaller than the sum of its proper divisors (222832525050).

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

106568713350 is a wasteful number, since it uses less digits than its factorization.

106568713350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

It can be divided in two parts, 106568 and 713350, that added together give a palindrome (819918).

The spelling of 106568713350 in words is "one hundred six billion, five hundred sixty-eight million, seven hundred thirteen thousand, three hundred fifty".