106003600 has 60 divisors (see below), whose sum is σ = 260638576. Its totient is φ = 41408640.

The previous prime is 106003577. The next prime is 106003607. The reversal of 106003600 is 6300601.

It is a happy number.

It is a super-2 number, since 2×106003600² = 22473526425920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (106003607) 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, 14119 + ... + 20281.

Almost surely, 2^106003600 is an apocalyptic number.

106003600 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 106003600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130319288).

106003600 is an abundant number, since it is smaller than the sum of its proper divisors (154634976).

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

106003600 is a wasteful number, since it uses less digits than its factorization.

106003600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6224 (or 6213 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 106003600 is about 10295.8049709578. The cubic root of 106003600 is about 473.2677067427.

The spelling of 106003600 in words is "one hundred six million, three thousand, six hundred".