105461243020 has 96 divisors (see below), whose sum is σ = 257004389376. Its totient is φ = 35602694400.

The previous prime is 105461242963. The next prime is 105461243059. The reversal of 105461243020 is 20342164501.

It is a super-2 number, since 2×105461243020² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 105461243020.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8154279 + ... + 8167201.

It is an arithmetic number, because the mean of its divisors is an integer number (2677129056).

Almost surely, 2^105461243020 is an apocalyptic number.

105461243020 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 105461243020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128502194688).

105461243020 is an abundant number, since it is smaller than the sum of its proper divisors (151543146356).

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

105461243020 is a wasteful number, since it uses less digits than its factorization.

105461243020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13831 (or 13829 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 105461243020 in words is "one hundred five billion, four hundred sixty-one million, two hundred forty-three thousand, twenty".