105010550505100 has 144 divisors (see below), whose sum is σ = 239113255772160. Its totient is φ = 39995028057600.

The previous prime is 105010550505083. The next prime is 105010550505131. The reversal of 105010550505100 is 1505055010501.

It is a super-3 number, since 3×105010550505100³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25239349 + ... + 29104051.

It is an arithmetic number, because the mean of its divisors is an integer number (1660508720640).

Almost surely, 2^{105010550505100} is an apocalyptic number.

105010550505100 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 105010550505100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119556627886080).

105010550505100 is an abundant number, since it is smaller than the sum of its proper divisors (134102705267060).

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

105010550505100 is a wasteful number, since it uses less digits than its factorization.

105010550505100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864920 (or 3864913 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 28.

The spelling of 105010550505100 in words is "one hundred five trillion, ten billion, five hundred fifty million, five hundred five thousand, one hundred".