1055605110100 has 36 divisors (see below), whose sum is σ = 2346532929468. Its totient is φ = 411943456000.

The previous prime is 1055605110083. The next prime is 1055605110101. The reversal of 1055605110100 is 10115065501.

It can be written as a sum of positive squares in 6 ways, for example, as 29654906436 + 1025950203664 = 172206^2 + 1012892^2 .

It is a super-2 number, since 2×1055605110100² (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 not an unprimeable number, because it can be changed into a prime (1055605110101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128728231 + ... + 128736430.

It is an arithmetic number, because the mean of its divisors is an integer number (65181470263).

Almost surely, 2^{1055605110100} is an apocalyptic number.

1055605110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055605110100 is an abundant number, since it is smaller than the sum of its proper divisors (1290927819368).

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

1055605110100 is a wasteful number, since it uses less digits than its factorization.

1055605110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257464716 (or 257464709 counting only the distinct ones).

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

The spelling of 1055605110100 in words is "one trillion, fifty-five billion, six hundred five million, one hundred ten thousand, one hundred".