10214687100 has 72 divisors (see below), whose sum is σ = 29604355200. Its totient is φ = 2719321280.

The previous prime is 10214687059. The next prime is 10214687111. The reversal of 10214687100 is 178641201.

10214687100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151279 + ... + 208121.

It is an arithmetic number, because the mean of its divisors is an integer number (411171600).

Almost surely, 2^10214687100 is an apocalyptic number.

10214687100 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 10214687100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14802177600).

10214687100 is an abundant number, since it is smaller than the sum of its proper divisors (19389668100).

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

10214687100 is a wasteful number, since it uses less digits than its factorization.

10214687100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57459 (or 57452 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The spelling of 10214687100 in words is "ten billion, two hundred fourteen million, six hundred eighty-seven thousand, one hundred".