106123342350 has 192 divisors, whose sum is σ = 282662265600. Its totient is φ = 26255923200.

The previous prime is 106123342327. The next prime is 106123342427. The reversal of 106123342350 is 53243321601.

It is a super-2 number, since 2×106123342350² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54449176 + ... + 54451124.

It is an arithmetic number, because the mean of its divisors is an integer number (1472199300).

Almost surely, 2^106123342350 is an apocalyptic number.

106123342350 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 106123342350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141331132800).

106123342350 is an abundant number, since it is smaller than the sum of its proper divisors (176538923250).

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

106123342350 is a wasteful number, since it uses less digits than its factorization.

106123342350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 106123342350 its reverse (53243321601), we get a palindrome (159366663951).

The spelling of 106123342350 in words is "one hundred six billion, one hundred twenty-three million, three hundred forty-two thousand, three hundred fifty".