10042780 has 48 divisors (see below), whose sum is σ = 23224320. Its totient is φ = 3617600.

The previous prime is 10042777. The next prime is 10042807. The reversal of 10042780 is 8724001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41901 + ... + 42139.

It is an arithmetic number, because the mean of its divisors is an integer number (483840).

Almost surely, 2^10042780 is an apocalyptic number.

10042780 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 10042780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).

10042780 is an abundant number, since it is smaller than the sum of its proper divisors (13181540).

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

10042780 is a wasteful number, since it uses less digits than its factorization.

10042780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 10042780 is about 3169.0345532985. The cubic root of 10042780 is about 215.7502543291.

10042780 divided by its sum of digits (22) gives a triangular number (456490 = T₉₅₅).

Adding to 10042780 its reverse (8724001), we get a palindrome (18766781).

The spelling of 10042780 in words is "ten million, forty-two thousand, seven hundred eighty".