106346526 has 128 divisors (see below), whose sum is σ = 276950016. Its totient is φ = 26695680.

The previous prime is 106346519. The next prime is 106346533. The reversal of 106346526 is 625643601.

It is an interprime number because it is at equal distance from previous prime (106346519) and next prime (106346533).

It is a super-2 number, since 2×106346526² = 22619167184537352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 335320 + ... + 335636.

It is an arithmetic number, because the mean of its divisors is an integer number (2163672).

Almost surely, 2^106346526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106346526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138475008).

106346526 is an abundant number, since it is smaller than the sum of its proper divisors (170603490).

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

106346526 is a wasteful number, since it uses less digits than its factorization.

106346526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386.

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 106346526 is about 10312.4451998544. The cubic root of 106346526 is about 473.7775042221. Note that the first 3 decimals are identical.

The spelling of 106346526 in words is "one hundred six million, three hundred forty-six thousand, five hundred twenty-six".