10514672100 has 144 divisors (see below), whose sum is σ = 34968595200. Its totient is φ = 2707205760.

The previous prime is 10514672089. The next prime is 10514672107. The reversal of 10514672100 is 127641501.

It is a happy number.

10514672100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10514672100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10514672107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11157 + ... + 145443.

Almost surely, 2^10514672100 is an apocalyptic number.

10514672100 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 10514672100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17484297600).

10514672100 is an abundant number, since it is smaller than the sum of its proper divisors (24453923100).

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

10514672100 is a wasteful number, since it uses less digits than its factorization.

10514672100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134339 (or 134326 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 10514672100 in words is "ten billion, five hundred fourteen million, six hundred seventy-two thousand, one hundred".