106405901 has 24 divisors (see below), whose sum is σ = 129467520. Its totient is φ = 87085152.

The previous prime is 106405883. The next prime is 106405921. The reversal of 106405901 is 109504601.

It is not a de Polignac number, because 106405901 - 2¹⁸ = 106143757 is a prime.

It is a super-2 number, since 2×106405901² = 22644431535243602, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106405921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146000 + ... + 146726.

It is an arithmetic number, because the mean of its divisors is an integer number (5394480).

Almost surely, 2^106405901 is an apocalyptic number.

It is an amenable number.

106405901 is a deficient number, since it is larger than the sum of its proper divisors (23061619).

106405901 is a wasteful number, since it uses less digits than its factorization.

106405901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 106405901 is about 10315.3236013225. The cubic root of 106405901 is about 473.8656603871.

The spelling of 106405901 in words is "one hundred six million, four hundred five thousand, nine hundred one".