106533036540 has 384 divisors, whose sum is σ = 384350883840. Its totient is φ = 23995008000.

The previous prime is 106533036539. The next prime is 106533036541. The reversal of 106533036540 is 45630335601.

106533036540 is a `hidden beast` number, since 1 + 0 + 6 + 53 + 30 + 36 + 540 = 666.

106533036540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (106533036539) and next prime (106533036541).

It is a super-2 number, since 2×106533036540² (a number of 23 digits) 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 = 106533036495 and 106533036504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106533036541) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100407610 + ... + 100408670.

It is an arithmetic number, because the mean of its divisors is an integer number (1000913760).

Almost surely, 2^106533036540 is an apocalyptic number.

106533036540 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 106533036540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192175441920).

106533036540 is an abundant number, since it is smaller than the sum of its proper divisors (277817847300).

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

106533036540 is a wasteful number, since it uses less digits than its factorization.

106533036540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

It can be divided in two parts, 1065330 and 36540, that added together give a triangular number (1101870 = T₁₄₈₄).

The spelling of 106533036540 in words is "one hundred six billion, five hundred thirty-three million, thirty-six thousand, five hundred forty".