10098880 has 112 divisors (see below), whose sum is σ = 27797760. Its totient is φ = 3456000.

The previous prime is 10098877. The next prime is 10098883. The reversal of 10098880 is 8889001.

It is an interprime number because it is at equal distance from previous prime (10098877) and next prime (10098883).

It is not an unprimeable number, because it can be changed into a prime (10098883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66805 + ... + 66955.

Almost surely, 2^10098880 is an apocalyptic number.

10098880 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 10098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13898880).

10098880 is an abundant number, since it is smaller than the sum of its proper divisors (17698880).

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

10098880 is a wasteful number, since it uses less digits than its factorization.

10098880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The square root of 10098880 is about 3177.8735028317. The cubic root of 10098880 is about 216.1512429549.

It can be divided in two parts, 1009 and 8880, that added together give a palindrome (9889).

The spelling of 10098880 in words is "ten million, ninety-eight thousand, eight hundred eighty".