106487712 has 72 divisors (see below), whose sum is σ = 309306816. Its totient is φ = 34736256.

The previous prime is 106487671. The next prime is 106487713. The reversal of 106487712 is 217784601.

106487712 is a `hidden beast` number, since 1 + 0 + 648 + 7 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106487712² = 22679265613989888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106487713) 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, 9603 + ... + 17469.

It is an arithmetic number, because the mean of its divisors is an integer number (4295928).

Almost surely, 2^106487712 is an apocalyptic number.

106487712 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 106487712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154653408).

106487712 is an abundant number, since it is smaller than the sum of its proper divisors (202819104).

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

106487712 is a wasteful number, since it uses less digits than its factorization.

106487712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7930 (or 7919 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 106487712 is about 10319.2883475558. The cubic root of 106487712 is about 473.9870743685.

The spelling of 106487712 in words is "one hundred six million, four hundred eighty-seven thousand, seven hundred twelve".