29226968100 has 288 divisors, whose sum is σ = 103662115200. Its totient is φ = 7005081600.

The previous prime is 29226968087. The next prime is 29226968117. The reversal of 29226968100 is 186962292.

It is a super-2 number, since 2×29226968100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2637772 + ... + 2648828.

It is an arithmetic number, because the mean of its divisors is an integer number (359937900).

Almost surely, 2^29226968100 is an apocalyptic number.

29226968100 is a gapful number since it is divisible by the number (20) 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 29226968100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51831057600).

29226968100 is an abundant number, since it is smaller than the sum of its proper divisors (74435147100).

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

29226968100 is a wasteful number, since it uses less digits than its factorization.

29226968100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11180 (or 11167 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 29226968100 in words is "twenty-nine billion, two hundred twenty-six million, nine hundred sixty-eight thousand, one hundred".