1204628100 has 144 divisors (see below), whose sum is σ = 3883293120. Its totient is φ = 286272000.

The previous prime is 1204628081. The next prime is 1204628119. The reversal of 1204628100 is 18264021.

It is an interprime number because it is at equal distance from previous prime (1204628081) and next prime (1204628119).

It is a super-2 number, since 2×1204628100² = 2902257718619220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107775 + ... + 118425.

Almost surely, 2^1204628100 is an apocalyptic number.

1204628100 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 1204628100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941646560).

1204628100 is an abundant number, since it is smaller than the sum of its proper divisors (2678665020).

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

1204628100 is a wasteful number, since it uses less digits than its factorization.

1204628100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10710 (or 10703 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1204628100 is about 34707.7527362404. The cubic root of 1204628100 is about 1064.0229527997.

The spelling of 1204628100 in words is "one billion, two hundred four million, six hundred twenty-eight thousand, one hundred".