106029216 has 48 divisors (see below), whose sum is σ = 309254400. Its totient is φ = 35342784.

The previous prime is 106029181. The next prime is 106029251. The reversal of 106029216 is 612920601.

It is an interprime number because it is at equal distance from previous prime (106029181) and next prime (106029251).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106029216² = 22484389291149312, 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 106029216.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60496 + ... + 62223.

It is an arithmetic number, because the mean of its divisors is an integer number (6442800).

Almost surely, 2^106029216 is an apocalyptic number.

106029216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106029216 is an abundant number, since it is smaller than the sum of its proper divisors (203225184).

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

106029216 is a wasteful number, since it uses less digits than its factorization.

106029216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122738 (or 122724 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 106029216 is about 10297.0488976211. The cubic root of 106029216 is about 473.3058257285.

Adding to 106029216 its reverse (612920601), we get a palindrome (718949817).

It can be divided in two parts, 1060 and 29216, that added together give a square (30276 = 174²).

The spelling of 106029216 in words is "one hundred six million, twenty-nine thousand, two hundred sixteen".