105001620 has 48 divisors (see below), whose sum is σ = 296932608. Its totient is φ = 27721600.

The previous prime is 105001511. The next prime is 105001621. The reversal of 105001620 is 26100501.

It is a super-2 number, since 2×105001620² = 22050680405248800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 105001620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105001621) 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, 2604 + ... + 14723.

It is an arithmetic number, because the mean of its divisors is an integer number (6186096).

Almost surely, 2^105001620 is an apocalyptic number.

105001620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105001620 is an abundant number, since it is smaller than the sum of its proper divisors (191930988).

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

105001620 is a wasteful number, since it uses less digits than its factorization.

105001620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17440 (or 17438 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 105001620 is about 10247.0298135606. The cubic root of 105001620 is about 471.7718242618.

The spelling of 105001620 in words is "one hundred five million, one thousand, six hundred twenty".