1105105506100 has 18 divisors (see below), whose sum is σ = 2398078948454. Its totient is φ = 442042202400.

The previous prime is 1105105506079. The next prime is 1105105506121. The reversal of 1105105506100 is 16055015011.

It is an interprime number because it is at equal distance from previous prime (1105105506079) and next prime (1105105506121).

It can be written as a sum of positive squares in 3 ways, for example, as 364173627024 + 740931879076 = 603468^2 + 860774^2 .

It is a super-2 number, since 2×1105105506100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5525527431 + ... + 5525527630.

Almost surely, 2^{1105105506100} is an apocalyptic number.

1105105506100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1105105506100 is an abundant number, since it is smaller than the sum of its proper divisors (1292973442354).

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

1105105506100 is a wasteful number, since it uses less digits than its factorization.

1105105506100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11051055075 (or 11051055068 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 25.

The spelling of 1105105506100 in words is "one trillion, one hundred five billion, one hundred five million, five hundred six thousand, one hundred".