1000601100 has 108 divisors (see below), whose sum is σ = 3252567864. Its totient is φ = 266820480.

The previous prime is 1000601093. The next prime is 1000601141. The reversal of 1000601100 is 11060001.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×1000601100² = 2002405122642420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 35 ways as a sum of consecutive naturals, for example, 3712 + ... + 44888.

Almost surely, 2^1000601100 is an apocalyptic number.

1000601100 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 1000601100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626283932).

1000601100 is an abundant number, since it is smaller than the sum of its proper divisors (2251966764).

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

1000601100 is a wasteful number, since it uses less digits than its factorization.

1000601100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41206 (or 41187 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1000601100 is about 31632.2793993730. The cubic root of 1000601100 is about 1000.2003265333.

Adding to 1000601100 its reverse (11060001), we get a palindrome (1011661101).

The spelling of 1000601100 in words is "one billion, six hundred one thousand, one hundred".