10192050400 has 72 divisors (see below), whose sum is σ = 28435836240. Its totient is φ = 3494415360.

The previous prime is 10192050397. The next prime is 10192050419. The reversal of 10192050400 is 405029101.

It is a super-2 number, since 2×10192050400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 904405 + ... + 915604.

It is an arithmetic number, because the mean of its divisors is an integer number (394942170).

Almost surely, 2^10192050400 is an apocalyptic number.

10192050400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10192050400 is an abundant number, since it is smaller than the sum of its proper divisors (18243785840).

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

10192050400 is a wasteful number, since it uses less digits than its factorization.

10192050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820036 (or 1820023 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 10192050400 its reverse (405029101), we get a palindrome (10597079501).

The spelling of 10192050400 in words is "ten billion, one hundred ninety-two million, fifty thousand, four hundred".