105155153550 has 36 divisors (see below), whose sum is σ = 282516847080. Its totient is φ = 28041374160.

The previous prime is 105155153513. The next prime is 105155153617. The reversal of 105155153550 is 55351551501.

105155153550 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 5 + 51 + 53 + 550 = 666.

It is a super-3 number, since 3×105155153550³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 116838610 + ... + 116839509.

Almost surely, 2^105155153550 is an apocalyptic number.

105155153550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105155153550 is an abundant number, since it is smaller than the sum of its proper divisors (177361693530).

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

105155153550 is a wasteful number, since it uses less digits than its factorization.

105155153550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233678137 (or 233678129 counting only the distinct ones).

The product of its (nonzero) digits is 46875, while the sum is 36.

The spelling of 105155153550 in words is "one hundred five billion, one hundred fifty-five million, one hundred fifty-three thousand, five hundred fifty".