106076112 has 40 divisors (see below), whose sum is σ = 274399104. Its totient is φ = 35311104.

The previous prime is 106076111. The next prime is 106076119. The reversal of 106076112 is 211670601.

It is a super-2 number, since 2×106076112² = 22504283074073088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106076111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67528 + ... + 69080.

Almost surely, 2^106076112 is an apocalyptic number.

106076112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106076112 is an abundant number, since it is smaller than the sum of its proper divisors (168322992).

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

106076112 is a wasteful number, since it uses less digits than its factorization.

106076112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 106076112 is about 10299.3258031776. The cubic root of 106076112 is about 473.3755954242.

The spelling of 106076112 in words is "one hundred six million, seventy-six thousand, one hundred twelve".