106132530 has 192 divisors, whose sum is σ = 326218752. Its totient is φ = 21934080.

The previous prime is 106132529. The next prime is 106132541. The reversal of 106132530 is 35231601.

It is a super-2 number, since 2×106132530² = 22528227848401800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 106132497 and 106132506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 774622 + ... + 774758.

It is an arithmetic number, because the mean of its divisors is an integer number (1699056).

Almost surely, 2^106132530 is an apocalyptic number.

106132530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106132530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163109376).

106132530 is an abundant number, since it is smaller than the sum of its proper divisors (220086222).

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

106132530 is a wasteful number, since it uses less digits than its factorization.

106132530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 106132530 is about 10302.0643562346. The cubic root of 106132530 is about 473.4595042654.

The spelling of 106132530 in words is "one hundred six million, one hundred thirty-two thousand, five hundred thirty".