106405907 has 8 divisors (see below), whose sum is σ = 113140800. Its totient is φ = 99723904.

The previous prime is 106405883. The next prime is 106405921. The reversal of 106405907 is 709504601.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106405907 - 2¹² = 106401811 is a prime.

It is a super-2 number, since 2×106405907² = 22644434088985298, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106405987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9032 + ... + 17157.

It is an arithmetic number, because the mean of its divisors is an integer number (14142600).

Almost surely, 2^106405907 is an apocalyptic number.

106405907 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106405907 is a deficient number, since it is larger than the sum of its proper divisors (6734893).

106405907 is a wasteful number, since it uses less digits than its factorization.

106405907 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26445.

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 106405907 is about 10315.3238921519. The cubic root of 106405907 is about 473.8656692939.

The spelling of 106405907 in words is "one hundred six million, four hundred five thousand, nine hundred seven".