106377012 has 72 divisors (see below), whose sum is σ = 314490176. Its totient is φ = 29683584.

The previous prime is 106376993. The next prime is 106377013. The reversal of 106377012 is 210773601.

106377012 is a `hidden beast` number, since 10 + 637 + 7 + 0 + 12 = 666.

It is a super-2 number, since 2×106377012² = 22632137364096288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106377013) 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, 5928 + ... + 15744.

Almost surely, 2^106377012 is an apocalyptic number.

106377012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106377012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157245088).

106377012 is an abundant number, since it is smaller than the sum of its proper divisors (208113164).

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

106377012 is a wasteful number, since it uses less digits than its factorization.

106377012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9877 (or 9872 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 106377012 is about 10313.9232108834. The cubic root of 106377012 is about 473.8227719633.

The spelling of 106377012 in words is "one hundred six million, three hundred seventy-seven thousand, twelve".