106763600 has 30 divisors (see below), whose sum is σ = 256500510. Its totient is φ = 42705280.

The previous prime is 106763567. The next prime is 106763609. The reversal of 106763600 is 6367601.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8832784 + 97930816 = 2972^2 + 9896^2 .

It is a super-2 number, since 2×106763600² = 22796932569920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106763609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133055 + ... + 133854.

It is an arithmetic number, because the mean of its divisors is an integer number (8550017).

Almost surely, 2^106763600 is an apocalyptic number.

106763600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106763600 is an abundant number, since it is smaller than the sum of its proper divisors (149736910).

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

106763600 is a wasteful number, since it uses less digits than its factorization.

106763600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266927 (or 266916 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 106763600 is about 10332.6472890542. The cubic root of 106763600 is about 474.3960560724.

The spelling of 106763600 in words is "one hundred six million, seven hundred sixty-three thousand, six hundred".