1102334400 has 672 divisors, whose sum is σ = 4535424000. Its totient is φ = 258785280.

The previous prime is 1102334393. The next prime is 1102334449. The reversal of 1102334400 is 44332011.

It is a super-2 number, since 2×1102334400² = 2430282258846720000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13953561 + ... + 13953639.

Almost surely, 2^1102334400 is an apocalyptic number.

1102334400 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 1102334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267712000).

1102334400 is an abundant number, since it is smaller than the sum of its proper divisors (3433089600).

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

1102334400 is a wasteful number, since it uses less digits than its factorization.

1102334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1102334400 is about 33201.4216563086. The cubic root of 1102334400 is about 1033.0098282026.

Adding to 1102334400 its reverse (44332011), we get a palindrome (1146666411).

The spelling of 1102334400 in words is "one billion, one hundred two million, three hundred thirty-four thousand, four hundred".