106069600 has 288 divisors, whose sum is σ = 335978496. Its totient is φ = 31795200.

The previous prime is 106069591. The next prime is 106069619. The reversal of 106069600 is 6960601.

It is a happy number.

It is a super-2 number, since 2×106069600² = 22501520088320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2256777 + ... + 2256823.

It is an arithmetic number, because the mean of its divisors is an integer number (1166592).

Almost surely, 2^106069600 is an apocalyptic number.

106069600 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 106069600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167989248).

106069600 is an abundant number, since it is smaller than the sum of its proper divisors (229908896).

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

106069600 is a wasteful number, since it uses less digits than its factorization.

106069600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 106069600 is about 10299.0096611276. The cubic root of 106069600 is about 473.3659084019.

The spelling of 106069600 in words is "one hundred six million, sixty-nine thousand, six hundred".