1106400540 has 96 divisors (see below), whose sum is σ = 3654733824. Its totient is φ = 244730880.

The previous prime is 1106400521. The next prime is 1106400569. The reversal of 1106400540 is 450046011.

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 31 ways as a sum of consecutive naturals, for example, 29469 + ... + 55508.

It is an arithmetic number, because the mean of its divisors is an integer number (38070144).

Almost surely, 2^1106400540 is an apocalyptic number.

1106400540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1106400540 is an abundant number, since it is smaller than the sum of its proper divisors (2548333284).

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

1106400540 is a wasteful number, since it uses less digits than its factorization.

1106400540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85027 (or 85025 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1106400540 is about 33262.5997180016. The cubic root of 1106400540 is about 1034.2784113617.

Adding to 1106400540 its reverse (450046011), we get a palindrome (1556446551).

The spelling of 1106400540 in words is "one billion, one hundred six million, four hundred thousand, five hundred forty".