105401221440 has 56 divisors (see below), whose sum is σ = 334648881120. Its totient is φ = 28106992128.

The previous prime is 105401221439. The next prime is 105401221463. The reversal of 105401221440 is 44122104501.

It is a super-2 number, since 2×105401221440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 105401221440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54895510 + ... + 54897429.

Almost surely, 2^105401221440 is an apocalyptic number.

105401221440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105401221440 is an abundant number, since it is smaller than the sum of its proper divisors (229247659680).

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

105401221440 is a wasteful number, since it uses less digits than its factorization.

105401221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109792959 (or 109792949 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 105401221440 its reverse (44122104501), we get a palindrome (149523325941).

The spelling of 105401221440 in words is "one hundred five billion, four hundred one million, two hundred twenty-one thousand, four hundred forty".