10106491200 has 336 divisors, whose sum is σ = 35981030400. Its totient is φ = 2468782080.

The previous prime is 10106491183. The next prime is 10106491201. The reversal of 10106491200 is 219460101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106491201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9297057 + ... + 9298143.

It is an arithmetic number, because the mean of its divisors is an integer number (107086400).

Almost surely, 2^10106491200 is an apocalyptic number.

10106491200 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 10106491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17990515200).

10106491200 is an abundant number, since it is smaller than the sum of its proper divisors (25874539200).

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

10106491200 is a wasteful number, since it uses less digits than its factorization.

10106491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 10106491200 in words is "ten billion, one hundred six million, four hundred ninety-one thousand, two hundred".