10930985100 has 288 divisors, whose sum is σ = 40675174400. Its totient is φ = 2466547200.

The previous prime is 10930985099. The next prime is 10930985119. The reversal of 10930985100 is 158903901.

It is a happy number.

10930985100 is a `hidden beast` number, since 109 + 30 + 9 + 8 + 510 + 0 = 666.

It is a super-3 number, since 3×10930985100³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1489440 + ... + 1496760.

Almost surely, 2^10930985100 is an apocalyptic number.

10930985100 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 10930985100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20337587200).

10930985100 is an abundant number, since it is smaller than the sum of its proper divisors (29744189300).

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

10930985100 is a wasteful number, since it uses less digits than its factorization.

10930985100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7430 (or 7417 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 10930985100 in words is "ten billion, nine hundred thirty million, nine hundred eighty-five thousand, one hundred".