106377642 has 48 divisors (see below), whose sum is σ = 267364032. Its totient is φ = 29937600.

The previous prime is 106377631. The next prime is 106377671. The reversal of 106377642 is 246773601.

106377642 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 7 + 7 + 642 = 666.

It is a super-2 number, since 2×106377642² = 22632405434960328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106377597 and 106377606.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2142 + ... + 14742.

It is an arithmetic number, because the mean of its divisors is an integer number (5570084).

Almost surely, 2^106377642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106377642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133682016).

106377642 is an abundant number, since it is smaller than the sum of its proper divisors (160986390).

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

106377642 is a wasteful number, since it uses less digits than its factorization.

106377642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12683 (or 12680 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 106377642 is about 10313.9537520778. The cubic root of 106377642 is about 473.8237073400.

The spelling of 106377642 in words is "one hundred six million, three hundred seventy-seven thousand, six hundred forty-two".