105033276480 has 448 divisors, whose sum is σ = 378469428480. Its totient is φ = 24445747200.

The previous prime is 105033276421. The next prime is 105033276583. The reversal of 105033276480 is 84672330501.

It is a super-2 number, since 2×105033276480² (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 63 ways as a sum of consecutive naturals, for example, 60328410 + ... + 60330150.

Almost surely, 2^105033276480 is an apocalyptic number.

105033276480 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 105033276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189234714240).

105033276480 is an abundant number, since it is smaller than the sum of its proper divisors (273436152000).

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

105033276480 is a wasteful number, since it uses less digits than its factorization.

105033276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 105033276480 in words is "one hundred five billion, thirty-three million, two hundred seventy-six thousand, four hundred eighty".