10098435600 has 360 divisors, whose sum is σ = 38412077184. Its totient is φ = 2436480000.

The previous prime is 10098435569. The next prime is 10098435601. The reversal of 10098435600 is 653489001.

10098435600 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 8 + 43 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×10098435600³ (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (10098435601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10731130 + ... + 10732070.

Almost surely, 2^10098435600 is an apocalyptic number.

10098435600 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 10098435600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19206038592).

10098435600 is an abundant number, since it is smaller than the sum of its proper divisors (28313641584).

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

10098435600 is a wasteful number, since it uses less digits than its factorization.

10098435600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10098435600 in words is "ten billion, ninety-eight million, four hundred thirty-five thousand, six hundred".