105153501454240 has 48 divisors (see below), whose sum is σ = 248429208625920. Its totient is φ = 42060712930560.

The previous prime is 105153501454189. The next prime is 105153501454247. The reversal of 105153501454240 is 42454105351501.

It is a super-2 number, since 2×105153501454240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 105153501454193 and 105153501454202.

It is not an unprimeable number, because it can be changed into a prime (105153501454247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4501525 + ... + 15184555.

It is an arithmetic number, because the mean of its divisors is an integer number (5175608513040).

Almost surely, 2^{105153501454240} is an apocalyptic number.

105153501454240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105153501454240 is an abundant number, since it is smaller than the sum of its proper divisors (143275707171680).

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

105153501454240 is a wasteful number, since it uses less digits than its factorization.

105153501454240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10744565 (or 10744557 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

The spelling of 105153501454240 in words is "one hundred five trillion, one hundred fifty-three billion, five hundred one million, four hundred fifty-four thousand, two hundred forty".