107126712 has 320 divisors, whose sum is σ = 397267200. Its totient is φ = 26127360.

The previous prime is 107126711. The next prime is 107126753. The reversal of 107126712 is 217621701.

It is a super-2 number, since 2×107126712² = 22952264847861888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107126711) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 947968 + ... + 948080.

It is an arithmetic number, because the mean of its divisors is an integer number (1241460).

Almost surely, 2^107126712 is an apocalyptic number.

107126712 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 107126712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198633600).

107126712 is an abundant number, since it is smaller than the sum of its proper divisors (290140488).

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

107126712 is a wasteful number, since it uses less digits than its factorization.

107126712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 107126712 is about 10350.2034762607. The cubic root of 107126712 is about 474.9332678183.

It can be divided in two parts, 10712 and 6712, that added together give a square (17424 = 132²).

The spelling of 107126712 in words is "one hundred seven million, one hundred twenty-six thousand, seven hundred twelve".