10094021600 has 288 divisors, whose sum is σ = 27718225920. Its totient is φ = 3564288000.

The previous prime is 10094021579. The next prime is 10094021617. The reversal of 10094021600 is 612049001.

It is a happy number.

It is a super-2 number, since 2×10094021600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42234281 + ... + 42234519.

It is an arithmetic number, because the mean of its divisors is an integer number (96243840).

Almost surely, 2^10094021600 is an apocalyptic number.

10094021600 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 10094021600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13859112960).

10094021600 is an abundant number, since it is smaller than the sum of its proper divisors (17624204320).

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

10094021600 is a wasteful number, since it uses less digits than its factorization.

10094021600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 10094021600 in words is "ten billion, ninety-four million, twenty-one thousand, six hundred".