106135600 has 30 divisors (see below), whose sum is σ = 254991740. Its totient is φ = 42454080.

The previous prime is 106135591. The next prime is 106135613. The reversal of 106135600 is 6531601.

It is a super-2 number, since 2×106135600² = 22529531174720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 132270 + ... + 133069.

Almost surely, 2^106135600 is an apocalyptic number.

106135600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106135600 is an abundant number, since it is smaller than the sum of its proper divisors (148856140).

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

106135600 is a wasteful number, since it uses less digits than its factorization.

106135600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265357 (or 265346 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 106135600 is about 10302.2133544205. The cubic root of 106135600 is about 473.4640693335.

The spelling of 106135600 in words is "one hundred six million, one hundred thirty-five thousand, six hundred".