106830991800 has 192 divisors, whose sum is σ = 396279324000. Its totient is φ = 26296842240.

The previous prime is 106830991793. The next prime is 106830991819. The reversal of 106830991800 is 8199038601.

It is a super-2 number, since 2×106830991800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 690705 + ... + 831104.

Almost surely, 2^106830991800 is an apocalyptic number.

106830991800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106830991800 is an abundant number, since it is smaller than the sum of its proper divisors (289448332200).

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

106830991800 is a wasteful number, since it uses less digits than its factorization.

106830991800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521847 (or 1521832 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 106830991800 in words is "one hundred six billion, eight hundred thirty million, nine hundred ninety-one thousand, eight hundred".