105010101720 has 48 divisors (see below), whose sum is σ = 341282831760. Its totient is φ = 28002693696.

The previous prime is 105010101671. The next prime is 105010101769. The reversal of 105010101720 is 27101010501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105010101671) and next prime (105010101769).

It is a super-2 number, since 2×105010101720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105010101693 and 105010101702.

It is a congruent number.

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, 145847004 + ... + 145847723.

It is an arithmetic number, because the mean of its divisors is an integer number (7110058995).

Almost surely, 2^105010101720 is an apocalyptic number.

105010101720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105010101720 is an abundant number, since it is smaller than the sum of its proper divisors (236272730040).

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

105010101720 is a wasteful number, since it uses less digits than its factorization.

105010101720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291694744 (or 291694737 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The spelling of 105010101720 in words is "one hundred five billion, ten million, one hundred one thousand, seven hundred twenty".