10300466900 has 72 divisors (see below), whose sum is σ = 22937349624. Its totient is φ = 4012646400.

The previous prime is 10300466881. The next prime is 10300466933. The reversal of 10300466900 is 966400301.

It can be written as a sum of positive squares in 12 ways, for example, as 6123688516 + 4176778384 = 78254^2 + 64628^2 .

It is a super-2 number, since 2×10300466900² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2757434 + ... + 2761166.

Almost surely, 2^10300466900 is an apocalyptic number.

10300466900 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 10300466900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11468674812).

10300466900 is an abundant number, since it is smaller than the sum of its proper divisors (12636882724).

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

10300466900 is a wasteful number, since it uses less digits than its factorization.

10300466900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4461 (or 4454 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 10300466900 in words is "ten billion, three hundred million, four hundred sixty-six thousand, nine hundred".