106745600 has 108 divisors (see below), whose sum is σ = 284757816. Its totient is φ = 39383040.

The previous prime is 106745593. The next prime is 106745609. The reversal of 106745600 is 6547601.

It is a super-2 number, since 2×106745600² = 22789246238720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106745609) 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, 82559 + ... + 83841.

Almost surely, 2^106745600 is an apocalyptic number.

106745600 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 106745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142378908).

106745600 is an abundant number, since it is smaller than the sum of its proper divisors (178012216).

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

106745600 is a wasteful number, since it uses less digits than its factorization.

106745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 106745600 is about 10331.7762267676. The cubic root of 106745600 is about 474.3693940236.

The spelling of 106745600 in words is "one hundred six million, seven hundred forty-five thousand, six hundred".