106920000 has 420 divisors, whose sum is σ = 433248816. Its totient is φ = 25920000.

The previous prime is 106919999. The next prime is 106920017. The reversal of 106920000 is 29601.

106920000 = 150³ + 151³ + ... + 174³.

It is a super-2 number, since 2×106920000² = 22863772800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9719995 + ... + 9720005.

Almost surely, 2^106920000 is an apocalyptic number.

106920000 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 106920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216624408).

106920000 is an abundant number, since it is smaller than the sum of its proper divisors (326328816).

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

106920000 is an frugal number, since it uses more digits than its factorization.

106920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 106920000 is about 10340.2127637685. The cubic root of 106920000 is about 474.6275936079.

Adding to 106920000 its reverse (29601), we get a palindrome (106949601).

The spelling of 106920000 in words is "one hundred six million, nine hundred twenty thousand".