106024212540 has 36 divisors (see below), whose sum is σ = 321606778584. Its totient is φ = 28273123296.

The previous prime is 106024212521. The next prime is 106024212551. The reversal of 106024212540 is 45212420601.

106024212540 is a `hidden beast` number, since 1 + 0 + 602 + 4 + 2 + 1 + 2 + 54 + 0 = 666.

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

It is a super-2 number, since 2×106024212540² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 294511522 + ... + 294511881.

Almost surely, 2^106024212540 is an apocalyptic number.

106024212540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106024212540 is an abundant number, since it is smaller than the sum of its proper divisors (215582566044).

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

106024212540 is a wasteful number, since it uses less digits than its factorization.

106024212540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589023418 (or 589023413 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 106024212540 in words is "one hundred six billion, twenty-four million, two hundred twelve thousand, five hundred forty".