105390480 has 160 divisors (see below), whose sum is σ = 372726144. Its totient is φ = 24403968.

The previous prime is 105390479. The next prime is 105390499. The reversal of 105390480 is 84093501.

It is a super-2 number, since 2×105390480² = 22214306549260800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 52047 + ... + 54033.

Almost surely, 2^105390480 is an apocalyptic number.

105390480 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 105390480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186363072).

105390480 is an abundant number, since it is smaller than the sum of its proper divisors (267335664).

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

105390480 is a wasteful number, since it uses less digits than its factorization.

105390480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 105390480 is about 10265.9865575599. The cubic root of 105390480 is about 472.3534889106.

The spelling of 105390480 in words is "one hundred five million, three hundred ninety thousand, four hundred eighty".