1520100 has 72 divisors (see below), whose sum is σ = 4895520. Its totient is φ = 404640.

The previous prime is 1520083. The next prime is 1520107. The reversal of 1520100 is 10251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1520107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2419 + ... + 2981.

2^1520100 is an apocalyptic number.

1520100 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 1520100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447760).

1520100 is an abundant number, since it is smaller than the sum of its proper divisors (3375420).

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

1520100 is a wasteful number, since it uses less digits than its factorization.

1520100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 1520100 is about 1232.9233552821. The cubic root of 1520100 is about 114.9804629697.

Adding to 1520100 its reverse (10251), we get a palindrome (1530351).

The spelling of 1520100 in words is "one million, five hundred twenty thousand, one hundred".