1010095920 has 200 divisors, whose sum is σ = 3546585504. Its totient is φ = 266416128.

The previous prime is 1010095901. The next prime is 1010095921. The reversal of 1010095920 is 295900101.

It is a happy number.

1010095920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1010095921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 627757 + ... + 629363.

Almost surely, 2^1010095920 is an apocalyptic number.

1010095920 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 1010095920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773292752).

1010095920 is an abundant number, since it is smaller than the sum of its proper divisors (2536489584).

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

1010095920 is a wasteful number, since it uses less digits than its factorization.

1010095920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 1010095920 is about 31782.0062299409. The cubic root of 1010095920 is about 1003.3540444751.

It can be divided in two parts, 101009 and 5920, that added together give a square (106929 = 327²).

The spelling of 1010095920 in words is "one billion, ten million, ninety-five thousand, nine hundred twenty".