10500099480 has 192 divisors, whose sum is σ = 37605728160. Its totient is φ = 2524483584.

The previous prime is 10500099473. The next prime is 10500099503. The reversal of 10500099480 is 8499000501.

It is a super-2 number, since 2×10500099480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175152 + ... + 227328.

Almost surely, 2^10500099480 is an apocalyptic number.

10500099480 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 10500099480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18802864080).

10500099480 is an abundant number, since it is smaller than the sum of its proper divisors (27105628680).

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

10500099480 is a wasteful number, since it uses less digits than its factorization.

10500099480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52250 (or 52243 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Adding to 10500099480 its reverse (8499000501), we get a palindrome (18999099981).

It can be divided in two parts, 105000 and 99480, that added together give a triangular number (204480 = T₆₃₉).

The spelling of 10500099480 in words is "ten billion, five hundred million, ninety-nine thousand, four hundred eighty".