106105600050 has 48 divisors (see below), whose sum is σ = 263167938912. Its totient is φ = 28292025600.

The previous prime is 106105600039. The next prime is 106105600061. The reversal of 106105600050 is 50006501601.

It is an interprime number because it is at equal distance from previous prime (106105600039) and next prime (106105600061).

It is a super-2 number, since 2×106105600050² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1807257 + ... + 1865043.

It is an arithmetic number, because the mean of its divisors is an integer number (5482665394).

Almost surely, 2^106105600050 is an apocalyptic number.

106105600050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106105600050 is an abundant number, since it is smaller than the sum of its proper divisors (157062338862).

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

106105600050 is a wasteful number, since it uses less digits than its factorization.

106105600050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70043 (or 70038 counting only the distinct ones).

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

The spelling of 106105600050 in words is "one hundred six billion, one hundred five million, six hundred thousand, fifty".