100605005050 has 48 divisors (see below), whose sum is σ = 204207688800. Its totient is φ = 36570916800.

The previous prime is 100605005047. The next prime is 100605005057. The reversal of 100605005050 is 50500506001.

It is a super-2 number, since 2×100605005050² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (100605005057) 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, 1630156 + ... + 1690744.

It is an arithmetic number, because the mean of its divisors is an integer number (4254326850).

Almost surely, 2^100605005050 is an apocalyptic number.

100605005050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100605005050 is an abundant number, since it is smaller than the sum of its proper divisors (103602683750).

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

100605005050 is a wasteful number, since it uses less digits than its factorization.

100605005050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63631 (or 63626 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The spelling of 100605005050 in words is "one hundred billion, six hundred five million, five thousand, fifty".