106005011600 has 60 divisors (see below), whose sum is σ = 254712162036. Its totient is φ = 42396157440.

The previous prime is 106005011599. The next prime is 106005011621. The reversal of 106005011600 is 6110500601.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 59969536 + 105945042064 = 7744^2 + 325492^2 .

It is a super-2 number, since 2×106005011600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3975914 + ... + 4002486.

Almost surely, 2^106005011600 is an apocalyptic number.

106005011600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106005011600 is an abundant number, since it is smaller than the sum of its proper divisors (148707150436).

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

106005011600 is a wasteful number, since it uses less digits than its factorization.

106005011600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36564 (or 36553 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 106005011600 in words is "one hundred six billion, five million, eleven thousand, six hundred".