102401145 has 64 divisors (see below), whose sum is σ = 226990080. Its totient is φ = 42552000.

The previous prime is 102401113. The next prime is 102401147. The reversal of 102401145 is 541104201.

It is not a de Polignac number, because 102401145 - 2⁵ = 102401113 is a prime.

It is a super-3 number, since 3×102401145³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102401147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5470 + ... + 15320.

It is an arithmetic number, because the mean of its divisors is an integer number (3546720).

Almost surely, 2^102401145 is an apocalyptic number.

102401145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102401145 is an abundant number, since it is smaller than the sum of its proper divisors (124588935).

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

102401145 is a wasteful number, since it uses less digits than its factorization.

102401145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9883 (or 9877 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 102401145 is about 10119.3450875044. The cubic root of 102401145 is about 467.8445818577.

Adding to 102401145 its reverse (541104201), we get a palindrome (643505346).

The spelling of 102401145 in words is "one hundred two million, four hundred one thousand, one hundred forty-five".