106005601010 has 16 divisors (see below), whose sum is σ = 190818723672. Its totient is φ = 42400320000.

The previous prime is 106005600977. The next prime is 106005601049. The reversal of 106005601010 is 10106500601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 101954405809 + 4051195201 = 319303^2 + 63649^2 .

It is a super-2 number, since 2×106005601010² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3560 + ... + 460460.

Almost surely, 2^106005601010 is an apocalyptic number.

106005601010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106005601010 is a deficient number, since it is larger than the sum of its proper divisors (84813122662).

106005601010 is a wasteful number, since it uses less digits than its factorization.

106005601010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480109.

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

The spelling of 106005601010 in words is "one hundred six billion, five million, six hundred one thousand, ten".