106496000 has 136 divisors (see below), whose sum is σ = 286259064. Its totient is φ = 39321600.

The previous prime is 106495919. The next prime is 106496011. The reversal of 106496000 is 694601.

It can be written as a sum of positive squares in 4 ways, for example, as 16777216 + 89718784 = 4096^2 + 9472^2 .

It is a super-2 number, since 2×106496000² = 22682796032000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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, 8191994 + ... + 8192006.

Almost surely, 2^106496000 is an apocalyptic number.

106496000 is a gapful number since it is divisible by the number (10) 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 106496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143129532).

106496000 is an abundant number, since it is smaller than the sum of its proper divisors (179763064).

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

106496000 is an frugal number, since it uses more digits than its factorization.

106496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 106496000 is about 10319.6899178221. The cubic root of 106496000 is about 473.9993709452. Note that the first 3 decimals are identical.

106496000 divided by its sum of digits (26) gives a cube (4096000 = 160³).

The spelling of 106496000 in words is "one hundred six million, four hundred ninety-six thousand".