106520535 has 48 divisors (see below), whose sum is σ = 208182240. Its totient is φ = 51638400.

The previous prime is 106520527. The next prime is 106520543. The reversal of 106520535 is 535025601.

106520535 is a `hidden beast` number, since 1 + 0 + 652 + 0 + 5 + 3 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (106520527) and next prime (106520543).

It is not a de Polignac number, because 106520535 - 2³ = 106520527 is a prime.

It is a super-2 number, since 2×106520535² = 22693248753372450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 106520499 and 106520508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13075 + ... + 19595.

It is an arithmetic number, because the mean of its divisors is an integer number (4337130).

Almost surely, 2^106520535 is an apocalyptic number.

106520535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106520535 is a deficient number, since it is larger than the sum of its proper divisors (101661705).

106520535 is a wasteful number, since it uses less digits than its factorization.

106520535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6557 (or 6540 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 106520535 is about 10320.8785963211. The cubic root of 106520535 is about 474.0357688117.

The spelling of 106520535 in words is "one hundred six million, five hundred twenty thousand, five hundred thirty-five".