10688904100 has 432 divisors, whose sum is σ = 30457425600. Its totient is φ = 3231083520.

The previous prime is 10688904097. The next prime is 10688904113. The reversal of 10688904100 is 140988601.

It is a happy number.

It is a super-2 number, since 2×10688904100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 10688904100.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99896247 + ... + 99896353.

It is an arithmetic number, because the mean of its divisors is an integer number (70503300).

Almost surely, 2^10688904100 is an apocalyptic number.

10688904100 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 10688904100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15228712800).

10688904100 is an abundant number, since it is smaller than the sum of its proper divisors (19768521500).

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

10688904100 is a wasteful number, since it uses less digits than its factorization.

10688904100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 10688904100 in words is "ten billion, six hundred eighty-eight million, nine hundred four thousand, one hundred".