105101336020 has 24 divisors (see below), whose sum is σ = 226096046568. Its totient is φ = 41015155200.

The previous prime is 105101336009. The next prime is 105101336083. The reversal of 105101336020 is 20633101501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9960336 + 105091375684 = 3156^2 + 324178^2 .

It is a super-2 number, since 2×105101336020² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105101335982 and 105101336000.

It is a congruent number.

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, 64085361 + ... + 64087000.

It is an arithmetic number, because the mean of its divisors is an integer number (9420668607).

Almost surely, 2^105101336020 is an apocalyptic number.

105101336020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105101336020 is an abundant number, since it is smaller than the sum of its proper divisors (120994710548).

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

105101336020 is a wasteful number, since it uses less digits than its factorization.

105101336020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128172411 (or 128172409 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 105101336020 its reverse (20633101501), we get a palindrome (125734437521).

The spelling of 105101336020 in words is "one hundred five billion, one hundred one million, three hundred thirty-six thousand, twenty".