10149713100 has 360 divisors, whose sum is σ = 34442462208. Its totient is φ = 2582409600.

The previous prime is 10149713047. The next prime is 10149713107. The reversal of 10149713100 is 131794101.

10149713100 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 2×10149713100² (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 (10149713107) 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 119 ways as a sum of consecutive naturals, for example, 20841057 + ... + 20841543.

Almost surely, 2^10149713100 is an apocalyptic number.

10149713100 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 10149713100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17221231104).

10149713100 is an abundant number, since it is smaller than the sum of its proper divisors (24292749108).

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

10149713100 is a wasteful number, since it uses less digits than its factorization.

10149713100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 10149713100 in words is "ten billion, one hundred forty-nine million, seven hundred thirteen thousand, one hundred".