1102004100 has 108 divisors (see below), whose sum is σ = 3460859220. Its totient is φ = 293299200.

The previous prime is 1102004081. The next prime is 1102004119. The reversal of 1102004100 is 14002011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1102004081) and next prime (1102004119).

It can be written as a sum of positive squares in 6 ways, for example, as 39765636 + 1062238464 = 6306^2 + 32592^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 684096 + ... + 685704.

Almost surely, 2^1102004100 is an apocalyptic number.

1102004100 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 1102004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730429610).

1102004100 is an abundant number, since it is smaller than the sum of its proper divisors (2358855120).

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

1102004100 is a wasteful number, since it uses less digits than its factorization.

1102004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1102004100 is about 33196.4470990496. The cubic root of 1102004100 is about 1032.9066419611.

Adding to 1102004100 its reverse (14002011), we get a palindrome (1116006111).

The spelling of 1102004100 in words is "one billion, one hundred two million, four thousand, one hundred".