105388380480 has 112 divisors (see below), whose sum is σ = 337857047424. Its totient is φ = 27830691840.

The previous prime is 105388380479. The next prime is 105388380481. The reversal of 105388380480 is 84083883501.

It is an interprime number because it is at equal distance from previous prime (105388380479) and next prime (105388380481).

It is a super-2 number, since 2×105388380480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105388380481) 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, 434031 + ... + 631790.

Almost surely, 2^105388380480 is an apocalyptic number.

105388380480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105388380480 is an abundant number, since it is smaller than the sum of its proper divisors (232468666944).

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

105388380480 is a wasteful number, since it uses less digits than its factorization.

105388380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065944 (or 1065934 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 105388380480 in words is "one hundred five billion, three hundred eighty-eight million, three hundred eighty thousand, four hundred eighty".