1106960400 has 720 divisors, whose sum is σ = 4925240320. Its totient is φ = 223948800.

The previous prime is 1106960383. The next prime is 1106960417. The reversal of 1106960400 is 40696011.

It is an interprime number because it is at equal distance from previous prime (1106960383) and next prime (1106960417).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1106960400² = 2450722654336320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10155546 + ... + 10155654.

Almost surely, 2^1106960400 is an apocalyptic number.

1106960400 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 1106960400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462620160).

1106960400 is an abundant number, since it is smaller than the sum of its proper divisors (3818279920).

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

1106960400 is a wasteful number, since it uses less digits than its factorization.

1106960400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1106960400 is about 33271.0144119472. The cubic root of 1106960400 is about 1034.4528368817.

The spelling of 1106960400 in words is "one billion, one hundred six million, nine hundred sixty thousand, four hundred".