106457661 has 6 divisors (see below), whose sum is σ = 153772190. Its totient is φ = 70971768.

The previous prime is 106457651. The next prime is 106457671. The reversal of 106457661 is 166754601.

106457661 is a `hidden beast` number, since 1 + 0 + 645 + 7 + 6 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (106457651) and next prime (106457671).

It can be written as a sum of positive squares in only one way, i.e., 104162436 + 2295225 = 10206^2 + 1515^2 .

It is not a de Polignac number, because 106457661 - 2⁵ = 106457629 is a prime.

It is a super-2 number, since 2×106457661² = 22666467171181842, 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 (106457651) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5914306 + ... + 5914323.

Almost surely, 2^106457661 is an apocalyptic number.

It is an amenable number.

106457661 is a deficient number, since it is larger than the sum of its proper divisors (47314529).

106457661 is a wasteful number, since it uses less digits than its factorization.

106457661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11828635 (or 11828632 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 106457661 is about 10317.8321851056. The cubic root of 106457661 is about 473.9424835408.

The spelling of 106457661 in words is "one hundred six million, four hundred fifty-seven thousand, six hundred sixty-one".