102601590 has 192 divisors, whose sum is σ = 316224000. Its totient is φ = 21280896.

The previous prime is 102601567. The next prime is 102601607. The reversal of 102601590 is 95106201.

It is a self number, because there is not a number n which added to its sum of digits gives 102601590.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1738981 + ... + 1739039.

It is an arithmetic number, because the mean of its divisors is an integer number (1647000).

Almost surely, 2^102601590 is an apocalyptic number.

102601590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102601590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158112000).

102601590 is an abundant number, since it is smaller than the sum of its proper divisors (213622410).

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

102601590 is a wasteful number, since it uses less digits than its factorization.

102601590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 102601590 is about 10129.2442956027. The cubic root of 102601590 is about 468.1496435043.

Adding to 102601590 its reverse (95106201), we get a palindrome (197707791).

The spelling of 102601590 in words is "one hundred two million, six hundred one thousand, five hundred ninety".