1010100320 has 96 divisors (see below), whose sum is σ = 2436739200. Its totient is φ = 395606016.

The previous prime is 1010100317. The next prime is 1010100337. The reversal of 1010100320 is 230010101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1010100298 and 1010100307.

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, 1984226 + ... + 1984734.

It is an arithmetic number, because the mean of its divisors is an integer number (25382700).

Almost surely, 2^1010100320 is an apocalyptic number.

1010100320 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 1010100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218369600).

1010100320 is an abundant number, since it is smaller than the sum of its proper divisors (1426638880).

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

1010100320 is a wasteful number, since it uses less digits than its factorization.

1010100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1010100320 is about 31782.0754514239. The cubic root of 1010100320 is about 1003.3555013504.

Adding to 1010100320 its reverse (230010101), we get a palindrome (1240110421).

The spelling of 1010100320 in words is "one billion, ten million, one hundred thousand, three hundred twenty".