106167941 has 12 divisors (see below), whose sum is σ = 123563916. Its totient is φ = 90837120.

The previous prime is 106167937. The next prime is 106167959. The reversal of 106167941 is 149761601.

It can be written as a sum of positive squares in 2 ways, for example, as 60996100 + 45171841 = 7810^2 + 6721^2 .

It is not a de Polignac number, because 106167941 - 2² = 106167937 is a prime.

It is a super-2 number, since 2×106167941² = 22543263392358962, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106167961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23750 + ... + 27863.

It is an arithmetic number, because the mean of its divisors is an integer number (10296993).

Almost surely, 2^106167941 is an apocalyptic number.

106167941 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106167941 is a deficient number, since it is larger than the sum of its proper divisors (17395975).

106167941 is a wasteful number, since it uses less digits than its factorization.

106167941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51652 (or 51641 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 106167941 is about 10303.7828490317. The cubic root of 106167941 is about 473.5121548217.

The spelling of 106167941 in words is "one hundred six million, one hundred sixty-seven thousand, nine hundred forty-one".