10214100 has 180 divisors, whose sum is σ = 36024604. Its totient is φ = 2488320.

The previous prime is 10214089. The next prime is 10214101. The reversal of 10214100 is 141201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1285956 + 8928144 = 1134^2 + 2988^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214101) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 105252 + ... + 105348.

Almost surely, 2^10214100 is an apocalyptic number.

10214100 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 10214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18012302).

10214100 is an abundant number, since it is smaller than the sum of its proper divisors (25810504).

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

10214100 is a wasteful number, since it uses less digits than its factorization.

10214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10214100 is about 3195.9505628216. The cubic root of 10214100 is about 216.9701729410.

Adding to 10214100 its reverse (141201), we get a palindrome (10355301).

The spelling of 10214100 in words is "ten million, two hundred fourteen thousand, one hundred".