106495128 has 64 divisors (see below), whose sum is σ = 298032000. Its totient is φ = 35233056.

The previous prime is 106495127. The next prime is 106495153. The reversal of 106495128 is 821594601.

106495128 is a `hidden beast` number, since 1 + 0 + 649 + 5 + 1 + 2 + 8 = 666.

It is a super-2 number, since 2×106495128² = 22682424575472768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106495092 and 106495101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106495121) 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, 28251 + ... + 31797.

It is an arithmetic number, because the mean of its divisors is an integer number (4656750).

Almost surely, 2^106495128 is an apocalyptic number.

106495128 is a gapful number since it is divisible by the number (18) 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 106495128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149016000).

106495128 is an abundant number, since it is smaller than the sum of its proper divisors (191536872).

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

106495128 is a wasteful number, since it uses less digits than its factorization.

106495128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 106495128 is about 10319.6476684042. The cubic root of 106495128 is about 473.9980772234.

The spelling of 106495128 in words is "one hundred six million, four hundred ninety-five thousand, one hundred twenty-eight".