105012780 has 48 divisors (see below), whose sum is σ = 296751840. Its totient is φ = 27744768.

The previous prime is 105012749. The next prime is 105012797. The reversal of 105012780 is 87210501.

It is a super-2 number, since 2×105012780² = 22055367926656800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105012780.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1489 + ... + 14568.

It is an arithmetic number, because the mean of its divisors is an integer number (6182330).

Almost surely, 2^105012780 is an apocalyptic number.

105012780 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 105012780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148375920).

105012780 is an abundant number, since it is smaller than the sum of its proper divisors (191739060).

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

105012780 is a wasteful number, since it uses less digits than its factorization.

105012780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16178 (or 16176 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 105012780 is about 10247.5743471321. The cubic root of 105012780 is about 471.7885376136.

The spelling of 105012780 in words is "one hundred five million, twelve thousand, seven hundred eighty".