106516128 has 96 divisors (see below), whose sum is σ = 307238400. Its totient is φ = 32161536.

The previous prime is 106516103. The next prime is 106516133. The reversal of 106516128 is 821615601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106516128² = 22691371048224768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106516095 and 106516104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40683 + ... + 43221.

It is an arithmetic number, because the mean of its divisors is an integer number (3200400).

Almost surely, 2^106516128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106516128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153619200).

106516128 is an abundant number, since it is smaller than the sum of its proper divisors (200722272).

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

106516128 is a wasteful number, since it uses less digits than its factorization.

106516128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 106516128 is about 10320.6650948473. The cubic root of 106516128 is about 474.0292314042.

The spelling of 106516128 in words is "one hundred six million, five hundred sixteen thousand, one hundred twenty-eight".