105013054540 has 48 divisors (see below), whose sum is σ = 230499057600. Its totient is φ = 40111948800.

The previous prime is 105013054501. The next prime is 105013054547. The reversal of 105013054540 is 45450310501.

It is a super-2 number, since 2×105013054540² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105013054499 and 105013054508.

It is not an unprimeable number, because it can be changed into a prime (105013054547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86536 + ... + 466384.

It is an arithmetic number, because the mean of its divisors is an integer number (4802063700).

Almost surely, 2^105013054540 is an apocalyptic number.

105013054540 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 105013054540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115249528800).

105013054540 is an abundant number, since it is smaller than the sum of its proper divisors (125486003060).

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

105013054540 is a wasteful number, since it uses less digits than its factorization.

105013054540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380482 (or 380480 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 105013054540 in words is "one hundred five billion, thirteen million, fifty-four thousand, five hundred forty".