10105603200 has 1536 divisors, whose sum is σ = 48568320000. Its totient is φ = 2032128000.

The previous prime is 10105603187. The next prime is 10105603213. The reversal of 10105603200 is 230650101.

10105603200 is a `hidden beast` number, since 101 + 0 + 560 + 3 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10105603187) and next prime (10105603213).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 325987185 + ... + 325987215.

It is an arithmetic number, because the mean of its divisors is an integer number (31620000).

Almost surely, 2^10105603200 is an apocalyptic number.

10105603200 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 10105603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24284160000).

10105603200 is an abundant number, since it is smaller than the sum of its proper divisors (38462716800).

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

10105603200 is a wasteful number, since it uses less digits than its factorization.

10105603200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The spelling of 10105603200 in words is "ten billion, one hundred five million, six hundred three thousand, two hundred".