102601408 has 112 divisors (see below), whose sum is σ = 254894080. Its totient is φ = 39896064.

The previous prime is 102601403. The next prime is 102601417. The reversal of 102601408 is 804106201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×102601408³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102601403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 459985 + ... + 460207.

It is an arithmetic number, because the mean of its divisors is an integer number (2275840).

Almost surely, 2^102601408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102601408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127447040).

102601408 is an abundant number, since it is smaller than the sum of its proper divisors (152292672).

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

102601408 is a wasteful number, since it uses less digits than its factorization.

102601408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 102601408 is about 10129.2353117104. The cubic root of 102601408 is about 468.1493666947.

Adding to 102601408 its reverse (804106201), we get a palindrome (906707609).

The spelling of 102601408 in words is "one hundred two million, six hundred one thousand, four hundred eight".