1106010100 has 72 divisors (see below), whose sum is σ = 2607879960. Its totient is φ = 404705280.

The previous prime is 1106010077. The next prime is 1106010127. The reversal of 1106010100 is 10106011.

It can be written as a sum of positive squares in 12 ways, for example, as 915183504 + 190826596 = 30252^2 + 13814^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143136 + ... + 150664.

It is an arithmetic number, because the mean of its divisors is an integer number (36220555).

Almost surely, 2^1106010100 is an apocalyptic number.

1106010100 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 1106010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303939980).

1106010100 is an abundant number, since it is smaller than the sum of its proper divisors (1501869860).

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

1106010100 is a wasteful number, since it uses less digits than its factorization.

1106010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7669 (or 7662 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1106010100 is about 33256.7301459419. The cubic root of 1106010100 is about 1034.1567341572.

Adding to 1106010100 its reverse (10106011), we get a palindrome (1116116111).

The spelling of 1106010100 in words is "one billion, one hundred six million, ten thousand, one hundred".