106005510324 has 72 divisors (see below), whose sum is σ = 317580314688. Its totient is φ = 30287286720.

The previous prime is 106005510319. The next prime is 106005510407. The reversal of 106005510324 is 423015500601.

106005510324 is a `hidden beast` number, since 1 + 0 + 600 + 5 + 51 + 0 + 3 + 2 + 4 = 666.

It is a super-2 number, since 2×106005510324² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7783137 + ... + 7796744.

It is an arithmetic number, because the mean of its divisors is an integer number (4410837704).

Almost surely, 2^106005510324 is an apocalyptic number.

106005510324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106005510324 is an abundant number, since it is smaller than the sum of its proper divisors (211574804364).

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

106005510324 is a wasteful number, since it uses less digits than its factorization.

106005510324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15579907 (or 15579893 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 106005510324 in words is "one hundred six billion, five million, five hundred ten thousand, three hundred twenty-four".