1945100 has 36 divisors (see below), whose sum is σ = 4312224. Its totient is φ = 761280.

The previous prime is 1945093. The next prime is 1945109. The reversal of 1945100 is 15491.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1945109) 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 11 ways as a sum of consecutive naturals, for example, 5117 + ... + 5483.

It is an arithmetic number, because the mean of its divisors is an integer number (119784).

2^1945100 is an apocalyptic number.

1945100 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 1945100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156112).

1945100 is an abundant number, since it is smaller than the sum of its proper divisors (2367124).

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

1945100 is a wasteful number, since it uses less digits than its factorization.

1945100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 1945100 is about 1394.6684193743. The cubic root of 1945100 is about 124.8285649878.

The spelling of 1945100 in words is "one million, nine hundred forty-five thousand, one hundred".