106668040 has 32 divisors (see below), whose sum is σ = 246493080. Its totient is φ = 41513472.

The previous prime is 106668017. The next prime is 106668053. The reversal of 106668040 is 40866601.

It can be written as a sum of positive squares in 4 ways, for example, as 106378596 + 289444 = 10314^2 + 538^2 .

It is a super-2 number, since 2×106668040² = 22756141514883200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106667993 and 106668011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34557 + ... + 37516.

Almost surely, 2^106668040 is an apocalyptic number.

106668040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106668040 is an abundant number, since it is smaller than the sum of its proper divisors (139825040).

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

106668040 is a wasteful number, since it uses less digits than its factorization.

106668040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72121 (or 72117 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 106668040 is about 10328.0220758866. The cubic root of 106668040 is about 474.2544759233.

The spelling of 106668040 in words is "one hundred six million, six hundred sixty-eight thousand, forty".