106005011652 has 72 divisors (see below), whose sum is σ = 268614842496. Its totient is φ = 35248397184.

The previous prime is 106005011621. The next prime is 106005011653. The reversal of 106005011652 is 256110500601.

It is a happy number.

106005011652 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 0 + 5 + 0 + 1 + 1 + 652 = 666.

It is a super-2 number, since 2×106005011652² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106005011653) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30876528 + ... + 30879960.

Almost surely, 2^106005011652 is an apocalyptic number.

106005011652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106005011652 is an abundant number, since it is smaller than the sum of its proper divisors (162609830844).

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

106005011652 is a wasteful number, since it uses less digits than its factorization.

106005011652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5297 (or 5292 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 106005011652 in words is "one hundred six billion, five million, eleven thousand, six hundred fifty-two".