105038991360 has 468 divisors, whose sum is σ = 376848874116. Its totient is φ = 27061125120.

The previous prime is 105038991293. The next prime is 105038991403. The reversal of 105038991360 is 63199830501.

105038991360 is a `hidden beast` number, since 1 + 0 + 503 + 8 + 9 + 9 + 136 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51155582976 + 53883408384 = 226176^2 + 232128^2 .

It is a super-2 number, since 2×105038991360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 177131224 + ... + 177131816.

It is an arithmetic number, because the mean of its divisors is an integer number (805232637).

Almost surely, 2^105038991360 is an apocalyptic number.

105038991360 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 105038991360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188424437058).

105038991360 is an abundant number, since it is smaller than the sum of its proper divisors (271809882756).

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

105038991360 is an equidigital number, since it uses as much as digits as its factorization.

105038991360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 105038991360 in words is "one hundred five billion, thirty-eight million, nine hundred ninety-one thousand, three hundred sixty".