1102382400 has 504 divisors, whose sum is σ = 4344558240. Its totient is φ = 243855360.

The previous prime is 1102382383. The next prime is 1102382431. The reversal of 1102382400 is 42832011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 10113546 + ... + 10113654.

Almost surely, 2^1102382400 is an apocalyptic number.

1102382400 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 1102382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172279120).

1102382400 is an abundant number, since it is smaller than the sum of its proper divisors (3242175840).

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

1102382400 is a wasteful number, since it uses less digits than its factorization.

1102382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1102382400 is about 33202.1445090524. The cubic root of 1102382400 is about 1033.0248217630.

The spelling of 1102382400 in words is "one billion, one hundred two million, three hundred eighty-two thousand, four hundred".