106355440 has 40 divisors (see below), whose sum is σ = 247917168. Its totient is φ = 42432000.

The previous prime is 106355437. The next prime is 106355461. The reversal of 106355440 is 44553601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106355440² = 22622959235187200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 106355399 and 106355408.

It is a congruent number.

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, 33940 + ... + 36940.

Almost surely, 2^106355440 is an apocalyptic number.

106355440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106355440 is an abundant number, since it is smaller than the sum of its proper divisors (141561728).

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

106355440 is a wasteful number, since it uses less digits than its factorization.

106355440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 106355440 is about 10312.8773870341. The cubic root of 106355440 is about 473.7907412465.

The spelling of 106355440 in words is "one hundred six million, three hundred fifty-five thousand, four hundred forty".