105001520 has 80 divisors (see below), whose sum is σ = 278419680. Its totient is φ = 36483072.

The previous prime is 105001511. The next prime is 105001621. The reversal of 105001520 is 25100501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×105001520³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105001495 and 105001504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14711 + ... + 20649.

It is an arithmetic number, because the mean of its divisors is an integer number (3480246).

Almost surely, 2^105001520 is an apocalyptic number.

105001520 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 105001520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139209840).

105001520 is an abundant number, since it is smaller than the sum of its proper divisors (173418160).

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

105001520 is a wasteful number, since it uses less digits than its factorization.

105001520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5982 (or 5976 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 105001520 is about 10247.0249340967. The cubic root of 105001520 is about 471.7716744952.

The spelling of 105001520 in words is "one hundred five million, one thousand, five hundred twenty".