106004641100 has 72 divisors (see below), whose sum is σ = 239238229440. Its totient is φ = 40733521920.

The previous prime is 106004641037. The next prime is 106004641109. The reversal of 106004641100 is 1146400601.

It is a super-2 number, since 2×106004641100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106004641109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110972 + ... + 473628.

Almost surely, 2^106004641100 is an apocalyptic number.

106004641100 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 106004641100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119619114720).

106004641100 is an abundant number, since it is smaller than the sum of its proper divisors (133233588340).

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

106004641100 is a wasteful number, since it uses less digits than its factorization.

106004641100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362787 (or 362780 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 106004641100 in words is "one hundred six billion, four million, six hundred forty-one thousand, one hundred".