1055000100 has 288 divisors, whose sum is σ = 3849753600. Its totient is φ = 216691200.

The previous prime is 1055000081. The next prime is 1055000101. The reversal of 1055000100 is 10005501.

It is a super-2 number, since 2×1055000100² = 2226050422000020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1055000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2517691 + ... + 2518109.

It is an arithmetic number, because the mean of its divisors is an integer number (13367200).

Almost surely, 2^1055000100 is an apocalyptic number.

1055000100 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 1055000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924876800).

1055000100 is an abundant number, since it is smaller than the sum of its proper divisors (2794753500).

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

1055000100 is a wasteful number, since it uses less digits than its factorization.

1055000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 1055000100 is about 32480.7650771961. The cubic root of 1055000100 is about 1018.0071624458.

Adding to 1055000100 its reverse (10005501), we get a palindrome (1065005601).

The spelling of 1055000100 in words is "one billion, fifty-five million, one hundred", and thus it is an aban number.