106968400 has 240 divisors, whose sum is σ = 336549888. Its totient is φ = 31680000.

The previous prime is 106968373. The next prime is 106968401. The reversal of 106968400 is 4869601.

It is a super-2 number, since 2×106968400² = 22884477197120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106968401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 708325 + ... + 708475.

Almost surely, 2^106968400 is an apocalyptic number.

106968400 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 106968400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168274944).

106968400 is an abundant number, since it is smaller than the sum of its proper divisors (229581488).

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

106968400 is a wasteful number, since it uses less digits than its factorization.

106968400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 106968400 is about 10342.5528763454. The cubic root of 106968400 is about 474.6992001365.

The spelling of 106968400 in words is "one hundred six million, nine hundred sixty-eight thousand, four hundred".