105288029010 has 384 divisors, whose sum is σ = 304331489280. Its totient is φ = 26143762176.

The previous prime is 105288028999. The next prime is 105288029029. The reversal of 105288029010 is 10920882501.

It is a super-2 number, since 2×105288029010² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 274903279 + ... + 274903661.

It is an arithmetic number, because the mean of its divisors is an integer number (792529920).

Almost surely, 2^105288029010 is an apocalyptic number.

105288029010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105288029010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152165744640).

105288029010 is an abundant number, since it is smaller than the sum of its proper divisors (199043460270).

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

105288029010 is a wasteful number, since it uses less digits than its factorization.

105288029010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 105288029010 in words is "one hundred five billion, two hundred eighty-eight million, twenty-nine thousand, ten".