106249716 has 36 divisors (see below), whose sum is σ = 271095552. Its totient is φ = 35084304.

The previous prime is 106249699. The next prime is 106249723. The reversal of 106249716 is 617942601.

106249716 is a `hidden beast` number, since 10 + 624 + 9 + 7 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106249716² = 22578004300161312, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9940 + ... + 17643.

It is an arithmetic number, because the mean of its divisors is an integer number (7530432).

Almost surely, 2^106249716 is an apocalyptic number.

It is an amenable number.

106249716 is an abundant number, since it is smaller than the sum of its proper divisors (164845836).

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

106249716 is a wasteful number, since it uses less digits than its factorization.

106249716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27700 (or 27695 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 106249716 is about 10307.7502880114. The cubic root of 106249716 is about 473.6336965939.

The spelling of 106249716 in words is "one hundred six million, two hundred forty-nine thousand, seven hundred sixteen".