106057512252 has 36 divisors (see below), whose sum is σ = 268099702416. Its totient is φ = 35351201280.

The previous prime is 106057512233. The next prime is 106057512259. The reversal of 106057512252 is 252215750601.

106057512252 is a `hidden beast` number, since 1 + 0 + 60 + 575 + 1 + 2 + 25 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106057512252² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (106057512259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1896313 + ... + 1951439.

It is an arithmetic number, because the mean of its divisors is an integer number (7447213956).

Almost surely, 2^106057512252 is an apocalyptic number.

106057512252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106057512252 is an abundant number, since it is smaller than the sum of its proper divisors (162042190164).

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

106057512252 is a wasteful number, since it uses less digits than its factorization.

106057512252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108578 (or 108573 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 106057512252 in words is "one hundred six billion, fifty-seven million, five hundred twelve thousand, two hundred fifty-two".