1004129100 has 216 divisors, whose sum is σ = 3568677840. Its totient is φ = 234109440.

The previous prime is 1004129099. The next prime is 1004129117. The reversal of 1004129100 is 19214001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 220042 + ... + 224558.

Almost surely, 2^1004129100 is an apocalyptic number.

1004129100 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 1004129100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784338920).

1004129100 is an abundant number, since it is smaller than the sum of its proper divisors (2564548740).

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

1004129100 is a wasteful number, since it uses less digits than its factorization.

1004129100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4569 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1004129100 is about 31687.9961499619. The cubic root of 1004129100 is about 1001.3744766152.

The spelling of 1004129100 in words is "one billion, four million, one hundred twenty-nine thousand, one hundred".