1105148400 has 60 divisors (see below), whose sum is σ = 3540162552. Its totient is φ = 294705920.

The previous prime is 1105148389. The next prime is 1105148423. The reversal of 1105148400 is 48415011.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 459279 + ... + 461678.

Almost surely, 2^1105148400 is an apocalyptic number.

1105148400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1105148400 is an abundant number, since it is smaller than the sum of its proper divisors (2435014152).

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

1105148400 is a wasteful number, since it uses less digits than its factorization.

1105148400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920978 (or 920967 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 1105148400 is about 33243.7723491183. The cubic root of 1105148400 is about 1033.8880915269. Note that the first 3 decimals are identical.

The spelling of 1105148400 in words is "one billion, one hundred five million, one hundred forty-eight thousand, four hundred".