10204461100407 has 16 divisors (see below), whose sum is σ = 16464340599552. Its totient is φ = 5488113532800.

The previous prime is 10204461100369. The next prime is 10204461100451. The reversal of 10204461100407 is 70400116440201.

It is not a de Polignac number, because 10204461100407 - 2¹⁶ = 10204461034871 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10204461100307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14291961969 + ... + 14291962682.

It is an arithmetic number, because the mean of its divisors is an integer number (1029021287472).

Almost surely, 2^{10204461100407} is an apocalyptic number.

10204461100407 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10204461100407 is a deficient number, since it is larger than the sum of its proper divisors (6259879499145).

10204461100407 is a wasteful number, since it uses less digits than its factorization.

10204461100407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28583924678.

The product of its (nonzero) digits is 5376, while the sum is 30.

Adding to 10204461100407 its reverse (70400116440201), we get a palindrome (80604577540608).

The spelling of 10204461100407 in words is "ten trillion, two hundred four billion, four hundred sixty-one million, one hundred thousand, four hundred seven".