102400144413 has 16 divisors (see below), whose sum is σ = 156546593280. Its totient is φ = 58323764016.

The previous prime is 102400144409. The next prime is 102400144421. The reversal of 102400144413 is 314441004201.

It is not a de Polignac number, because 102400144413 - 2² = 102400144409 is a prime.

It is a super-2 number, since 2×102400144413² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102400144423) 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, 7935243 + ... + 7948136.

It is an arithmetic number, because the mean of its divisors is an integer number (9784162080).

Almost surely, 2^102400144413 is an apocalyptic number.

It is an amenable number.

102400144413 is a deficient number, since it is larger than the sum of its proper divisors (54146448867).

102400144413 is a wasteful number, since it uses less digits than its factorization.

102400144413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15883696.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 102400144413 its reverse (314441004201), we get a palindrome (416841148614).

The spelling of 102400144413 in words is "one hundred two billion, four hundred million, one hundred forty-four thousand, four hundred thirteen".