106121532 has 48 divisors (see below), whose sum is σ = 270772992. Its totient is φ = 32081280.

The previous prime is 106121507. The next prime is 106121539. The reversal of 106121532 is 235121601.

It is a super-2 number, since 2×106121532² = 22523559108054048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106121499 and 106121508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106121539) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 80793 + ... + 82095.

It is an arithmetic number, because the mean of its divisors is an integer number (5641104).

Almost surely, 2^106121532 is an apocalyptic number.

106121532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106121532 is an abundant number, since it is smaller than the sum of its proper divisors (164651460).

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

106121532 is a wasteful number, since it uses less digits than its factorization.

106121532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 106121532 is about 10301.5305658917. The cubic root of 106121532 is about 473.4431495955.

The spelling of 106121532 in words is "one hundred six million, one hundred twenty-one thousand, five hundred thirty-two".