106137216 has 160 divisors (see below), whose sum is σ = 327680100. Its totient is φ = 34062336.

The previous prime is 106137209. The next prime is 106137221. The reversal of 106137216 is 612731601.

It can be written as a sum of positive squares in 2 ways, for example, as 106007616 + 129600 = 10296^2 + 360^2 .

It is a super-2 number, since 2×106137216² = 22530217240461312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 106137216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 300496 + ... + 300848.

Almost surely, 2^106137216 is an apocalyptic number.

106137216 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 106137216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163840050).

106137216 is an abundant number, since it is smaller than the sum of its proper divisors (221542884).

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

106137216 is an equidigital number, since it uses as much as digits as its factorization.

106137216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 106137216 is about 10302.2917838702. The cubic root of 106137216 is about 473.4664722786.

Adding to 106137216 its reverse (612731601), we get a palindrome (718868817).

The spelling of 106137216 in words is "one hundred six million, one hundred thirty-seven thousand, two hundred sixteen".