10484100 has 144 divisors (see below), whose sum is σ = 36872640. Its totient is φ = 2534400.

The previous prime is 10484059. The next prime is 10484101. The reversal of 10484100 is 148401.

10484100 = T₄₀₇ + T₄₀₈ + ... + T₅₀₆.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10484101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29524 + ... + 29876.

It is an arithmetic number, because the mean of its divisors is an integer number (256060).

Almost surely, 2^10484100 is an apocalyptic number.

10484100 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 10484100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18436320).

10484100 is an abundant number, since it is smaller than the sum of its proper divisors (26388540).

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

10484100 is a wasteful number, since it uses less digits than its factorization.

10484100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10484100 is about 3237.9159964397. The cubic root of 10484100 is about 218.8653704346.

The spelling of 10484100 in words is "ten million, four hundred eighty-four thousand, one hundred".