106051616 has 96 divisors (see below), whose sum is σ = 243673920. Its totient is φ = 44928000.

The previous prime is 106051613. The next prime is 106051619. The reversal of 106051616 is 616150601.

It is an interprime number because it is at equal distance from previous prime (106051613) and next prime (106051619).

It is a super-2 number, since 2×106051616² = 22493890512422912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106051613) 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, 675410 + ... + 675566.

It is an arithmetic number, because the mean of its divisors is an integer number (2538270).

Almost surely, 2^106051616 is an apocalyptic number.

106051616 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 106051616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121836960).

106051616 is an abundant number, since it is smaller than the sum of its proper divisors (137622304).

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

106051616 is a wasteful number, since it uses less digits than its factorization.

106051616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 106051616 is about 10298.1365304603. The cubic root of 106051616 is about 473.3391539763.

It can be divided in two parts, 10605 and 1616, that added together give a palindrome (12221).

The spelling of 106051616 in words is "one hundred six million, fifty-one thousand, six hundred sixteen".