1010181920 has 48 divisors (see below), whose sum is σ = 2603518848. Its totient is φ = 367338240.

The previous prime is 1010181917. The next prime is 1010181941. The reversal of 1010181920 is 291810101.

It is a super-2 number, since 2×1010181920² = 2040935022989772800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 285224 + ... + 288743.

It is an arithmetic number, because the mean of its divisors is an integer number (54239976).

Almost surely, 2^1010181920 is an apocalyptic number.

1010181920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010181920 is an abundant number, since it is smaller than the sum of its proper divisors (1593336928).

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

1010181920 is a wasteful number, since it uses less digits than its factorization.

1010181920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573993 (or 573985 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 23.

The square root of 1010181920 is about 31783.3591679671. The cubic root of 1010181920 is about 1003.3825189983.

It can be divided in two parts, 1010181 and 920, that added together give a palindrome (1011101).

The spelling of 1010181920 in words is "one billion, ten million, one hundred eighty-one thousand, nine hundred twenty".