105101100720 has 1280 divisors, whose sum is σ = 482254848000. Its totient is φ = 20379340800.

The previous prime is 105101100719. The next prime is 105101100737. The reversal of 105101100720 is 27001101501.

It is a happy number.

It is a super-2 number, since 2×105101100720² (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 = 105101100693 and 105101100702.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 249646110 + ... + 249646530.

It is an arithmetic number, because the mean of its divisors is an integer number (376761600).

Almost surely, 2^105101100720 is an apocalyptic number.

105101100720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105101100720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241127424000).

105101100720 is an abundant number, since it is smaller than the sum of its proper divisors (377153747280).

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

105101100720 is a wasteful number, since it uses less digits than its factorization.

105101100720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 547 counting only the distinct ones).

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

The spelling of 105101100720 in words is "one hundred five billion, one hundred one million, one hundred thousand, seven hundred twenty".