105187031488 has 504 divisors, whose sum is σ = 289833344640. Its totient is φ = 37347609600.

The previous prime is 105187031459. The next prime is 105187031501. The reversal of 105187031488 is 884130781501.

It is a super-2 number, since 2×105187031488² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 629862381 + ... + 629862547.

It is an arithmetic number, because the mean of its divisors is an integer number (575066160).

Almost surely, 2^105187031488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105187031488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144916672320).

105187031488 is an abundant number, since it is smaller than the sum of its proper divisors (184646313152).

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

105187031488 is a wasteful number, since it uses less digits than its factorization.

105187031488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 46.

The spelling of 105187031488 in words is "one hundred five billion, one hundred eighty-seven million, thirty-one thousand, four hundred eighty-eight".