106105000050600 has 96 divisors (see below), whose sum is σ = 331020567330720. Its totient is φ = 28114445848320.

The previous prime is 106105000050593. The next prime is 106105000050607. The reversal of 106105000050600 is 6050000501601.

It is an interprime number because it is at equal distance from previous prime (106105000050593) and next prime (106105000050607).

It is a super-2 number, since 2×106105000050600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (106105000050607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 563095822 + ... + 563284221.

It is an arithmetic number, because the mean of its divisors is an integer number (3448130909695).

Almost surely, 2^{106105000050600} is an apocalyptic number.

106105000050600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106105000050600 is an abundant number, since it is smaller than the sum of its proper divisors (224915567280120).

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

106105000050600 is a wasteful number, since it uses less digits than its factorization.

106105000050600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126380219 (or 1126380210 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 106105000050600 in words is "one hundred six trillion, one hundred five billion, fifty thousand, six hundred".