106829900 has 36 divisors (see below), whose sum is σ = 233245488. Its totient is φ = 42469440.

The previous prime is 106829897. The next prime is 106829909. The reversal of 106829900 is 9928601.

It is a super-2 number, since 2×106829900² = 22825255068020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106829909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13502 + ... + 19898.

Almost surely, 2^106829900 is an apocalyptic number.

106829900 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 106829900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116622744).

106829900 is an abundant number, since it is smaller than the sum of its proper divisors (126415588).

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

106829900 is a wasteful number, since it uses less digits than its factorization.

106829900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6578 (or 6571 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 106829900 is about 10335.8550686433. The cubic root of 106829900 is about 474.4942354460.

The spelling of 106829900 in words is "one hundred six million, eight hundred twenty-nine thousand, nine hundred".