106529040 has 160 divisors (see below), whose sum is σ = 370512000. Its totient is φ = 28131840.

The previous prime is 106529023. The next prime is 106529041. The reversal of 106529040 is 40925601.

106529040 is a `hidden beast` number, since 1 + 0 + 652 + 9 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×106529040² = 22696872726643200, 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 = 106528995 and 106529013.

It is not an unprimeable number, because it can be changed into a prime (106529041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321675 + ... + 322005.

It is an arithmetic number, because the mean of its divisors is an integer number (2315700).

Almost surely, 2^106529040 is an apocalyptic number.

106529040 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 106529040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185256000).

106529040 is an abundant number, since it is smaller than the sum of its proper divisors (263982960).

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

106529040 is a wasteful number, since it uses less digits than its factorization.

106529040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106529040 is about 10321.2906169723. The cubic root of 106529040 is about 474.0483847420.

The spelling of 106529040 in words is "one hundred six million, five hundred twenty-nine thousand, forty".