106000506072 has 96 divisors (see below), whose sum is σ = 287965510560. Its totient is φ = 35225280000.

The previous prime is 106000505959. The next prime is 106000506089. The reversal of 106000506072 is 270605000601.

106000506072 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 0 + 0 + 50 + 607 + 2 = 666.

It is a super-2 number, since 2×106000506072² (a number of 23 digits) contains 22 as substring.

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, 58855572 + ... + 58857372.

It is an arithmetic number, because the mean of its divisors is an integer number (2999640735).

Almost surely, 2^106000506072 is an apocalyptic number.

106000506072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106000506072 is an abundant number, since it is smaller than the sum of its proper divisors (181965004488).

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

106000506072 is a wasteful number, since it uses less digits than its factorization.

106000506072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3865 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 106000506072 its reverse (270605000601), we get a palindrome (376605506673).

The spelling of 106000506072 in words is "one hundred six billion, five hundred six thousand, seventy-two".