945890100 has 108 divisors (see below), whose sum is σ = 3067160460. Its totient is φ = 243532800.

The previous prime is 945890093. The next prime is 945890137. The reversal of 945890100 is 1098549.

It can be written as a sum of positive squares in 6 ways, for example, as 202891536 + 742998564 = 14244^2 + 27258^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7980 + ... + 44220.

Almost surely, 2^945890100 is an apocalyptic number.

945890100 is a gapful number since it is divisible by the number (90) 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 945890100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533580230).

945890100 is an abundant number, since it is smaller than the sum of its proper divisors (2121270360).

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

945890100 is a wasteful number, since it uses less digits than its factorization.

945890100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36290 (or 36280 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 945890100 is about 30755.3263679643. The cubic root of 945890100 is about 981.6278996659.

The spelling of 945890100 in words is "nine hundred forty-five million, eight hundred ninety thousand, one hundred".