1010145120 has 96 divisors (see below), whose sum is σ = 3188118528. Its totient is φ = 268850688.

The previous prime is 1010145079. The next prime is 1010145133. The reversal of 1010145120 is 215410101.

It is a happy number.

1010145120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1010145120.

It is a congruent number.

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, 289627 + ... + 293093.

It is an arithmetic number, because the mean of its divisors is an integer number (33209568).

Almost surely, 2^1010145120 is an apocalyptic number.

1010145120 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 1010145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594059264).

1010145120 is an abundant number, since it is smaller than the sum of its proper divisors (2177973408).

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

1010145120 is a wasteful number, since it uses less digits than its factorization.

1010145120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1010145120 is about 31782.7802433960. The cubic root of 1010145120 is about 1003.3703347490.

Adding to 1010145120 its reverse (215410101), we get a palindrome (1225555221).

The spelling of 1010145120 in words is "one billion, ten million, one hundred forty-five thousand, one hundred twenty".