106431516 has 48 divisors (see below), whose sum is σ = 280627200. Its totient is φ = 34873776.

The previous prime is 106431497. The next prime is 106431527. The reversal of 106431516 is 615134601.

106431516 is a `hidden beast` number, since 1 + 0 + 643 + 1 + 5 + 16 = 666.

It is a super-2 number, since 2×106431516² = 22655335196116512, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106431516.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1980 + ... + 14723.

It is an arithmetic number, because the mean of its divisors is an integer number (5846400).

Almost surely, 2^106431516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106431516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140313600).

106431516 is an abundant number, since it is smaller than the sum of its proper divisors (174195684).

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

106431516 is a wasteful number, since it uses less digits than its factorization.

106431516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16775 (or 16767 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106431516 is about 10316.5651260485. The cubic root of 106431516 is about 473.9036817591.

The spelling of 106431516 in words is "one hundred six million, four hundred thirty-one thousand, five hundred sixteen".