106472016 has 160 divisors (see below), whose sum is σ = 353191680. Its totient is φ = 30081024.

The previous prime is 106471979. The next prime is 106472017. The reversal of 106472016 is 610274601.

106472016 is a `hidden beast` number, since 1 + 0 + 647 + 2 + 0 + 16 = 666.

It is a super-2 number, since 2×106472016² = 22672580382208512, 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 (106472017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414160 + ... + 414416.

It is an arithmetic number, because the mean of its divisors is an integer number (2207448).

Almost surely, 2^106472016 is an apocalyptic number.

106472016 is a gapful number since it is divisible by the number (16) 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 106472016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176595840).

106472016 is an abundant number, since it is smaller than the sum of its proper divisors (246719664).

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

106472016 is a wasteful number, since it uses less digits than its factorization.

106472016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 106472016 is about 10318.5278019687. The cubic root of 106472016 is about 473.9637850877.

The spelling of 106472016 in words is "one hundred six million, four hundred seventy-two thousand, sixteen".