106200016 has 80 divisors (see below), whose sum is σ = 234984960. Its totient is φ = 46126080.

The previous prime is 106200013. The next prime is 106200019. The reversal of 106200016 is 610002601.

It is an interprime number because it is at equal distance from previous prime (106200013) and next prime (106200019).

It is a super-2 number, since 2×106200016² = 22556886796800512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106200013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377796 + ... + 378076.

It is an arithmetic number, because the mean of its divisors is an integer number (2937312).

Almost surely, 2^106200016 is an apocalyptic number.

106200016 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 106200016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117492480).

106200016 is an abundant number, since it is smaller than the sum of its proper divisors (128784944).

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

106200016 is a wasteful number, since it uses less digits than its factorization.

106200016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 106200016 is about 10305.3391986873. The cubic root of 106200016 is about 473.5598351697.

Adding to 106200016 its reverse (610002601), we get a palindrome (716202617).

It can be divided in two parts, 10 and 6200016, that added together give a palindrome (6200026).

The spelling of 106200016 in words is "one hundred six million, two hundred thousand, sixteen".