106277382 has 24 divisors (see below), whose sum is σ = 231740496. Its totient is φ = 35199216.

The previous prime is 106277333. The next prime is 106277383. The reversal of 106277382 is 283772601.

106277382 is a `hidden beast` number, since 1 + 0 + 6 + 277 + 382 = 666.

It is a super-2 number, since 2×106277382² = 22589763849547848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106277383) 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, 15978 + ... + 21629.

It is an arithmetic number, because the mean of its divisors is an integer number (9655854).

Almost surely, 2^106277382 is an apocalyptic number.

106277382 is an abundant number, since it is smaller than the sum of its proper divisors (125463114).

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

106277382 is a wasteful number, since it uses less digits than its factorization.

106277382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37772 (or 37769 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 106277382 is about 10309.0922005771. The cubic root of 106277382 is about 473.6748023122.

The spelling of 106277382 in words is "one hundred six million, two hundred seventy-seven thousand, three hundred eighty-two".