105031087020 has 48 divisors (see below), whose sum is σ = 326763383520. Its totient is φ = 28008289728.

The previous prime is 105031087003. The next prime is 105031087033. The reversal of 105031087020 is 20780130501.

It is a super-3 number, since 3×105031087020³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97250467 + ... + 97251546.

It is an arithmetic number, because the mean of its divisors is an integer number (6807570490).

Almost surely, 2^105031087020 is an apocalyptic number.

105031087020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105031087020 is an abundant number, since it is smaller than the sum of its proper divisors (221732296500).

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

105031087020 is a wasteful number, since it uses less digits than its factorization.

105031087020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194502031 (or 194502023 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 105031087020 in words is "one hundred five billion, thirty-one million, eighty-seven thousand, twenty".