101005606600 has 48 divisors (see below), whose sum is σ = 235113740820. Its totient is φ = 40354809600.

The previous prime is 101005606591. The next prime is 101005606627. The reversal of 101005606600 is 6606500101.

It can be written as a sum of positive squares in 6 ways, for example, as 1203951204 + 99801655396 = 34698^2 + 315914^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125431 + ... + 466630.

Almost surely, 2^101005606600 is an apocalyptic number.

101005606600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101005606600 is an abundant number, since it is smaller than the sum of its proper divisors (134108134220).

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

101005606600 is a wasteful number, since it uses less digits than its factorization.

101005606600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592930 (or 592921 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 101005606600 in words is "one hundred one billion, five million, six hundred six thousand, six hundred".