1029768100 has 27 divisors (see below), whose sum is σ = 2235293347. Its totient is φ = 411778880.

The previous prime is 1029768097. The next prime is 1029768101. The reversal of 1029768100 is 18679201.

It is a happy number.

The square root of 1029768100 is 32090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6280036 + 1023488064 = 2506^2 + 31992^2 .

It is a super-2 number, since 2×1029768100² = 2120844679555220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1029768101) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 319296 + ... + 322504.

Almost surely, 2^1029768100 is an apocalyptic number.

1029768100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1029768100 is the 32090-th square number.

It is an amenable number.

1029768100 is an abundant number, since it is smaller than the sum of its proper divisors (1205525247).

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

1029768100 is an frugal number, since it uses more digits than its factorization.

1029768100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6432 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The cubic root of 1029768100 is about 1009.8258367143.

It can be divided in two parts, 1029 and 768100, that added together give a square (769129 = 877²).

The spelling of 1029768100 in words is "one billion, twenty-nine million, seven hundred sixty-eight thousand, one hundred".