105097860 has 144 divisors (see below), whose sum is σ = 366912000. Its totient is φ = 23853312.

The previous prime is 105097849. The next prime is 105097877. The reversal of 105097860 is 68790501.

105097860 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105097860² = 22091120353159200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

105097860 is strictly pandigital in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300966 + ... + 301314.

It is an arithmetic number, because the mean of its divisors is an integer number (2548000).

Almost surely, 2^105097860 is an apocalyptic number.

105097860 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 105097860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183456000).

105097860 is an abundant number, since it is smaller than the sum of its proper divisors (261814140).

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

105097860 is a wasteful number, since it uses less digits than its factorization.

105097860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 105097860 is about 10251.7247329413. The cubic root of 105097860 is about 471.9159155493.

The spelling of 105097860 in words is "one hundred five million, ninety-seven thousand, eight hundred sixty".