106321600 has 168 divisors, whose sum is σ = 326550528. Its totient is φ = 33100800.

The previous prime is 106321591. The next prime is 106321613. The reversal of 106321600 is 6123601.

It is a super-2 number, since 2×106321600² = 22608565253120000, which contains 22 as substring.

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, 122769 + ... + 123631.

Almost surely, 2^106321600 is an apocalyptic number.

106321600 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 106321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163275264).

106321600 is an abundant number, since it is smaller than the sum of its proper divisors (220228928).

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

106321600 is a wasteful number, since it uses less digits than its factorization.

106321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 106321600 is about 10311.2365892748. The cubic root of 106321600 is about 473.7404859283.

The spelling of 106321600 in words is "one hundred six million, three hundred twenty-one thousand, six hundred".