102601000 has 128 divisors (see below), whose sum is σ = 256089600. Its totient is φ = 38419200.

The previous prime is 102600997. The next prime is 102601021. The reversal of 102601000 is 106201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1738971 + ... + 1739029.

It is an arithmetic number, because the mean of its divisors is an integer number (2000700).

Almost surely, 2^102601000 is an apocalyptic number.

102601000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102601000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128044800).

102601000 is an abundant number, since it is smaller than the sum of its proper divisors (153488600).

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

102601000 is a wasteful number, since it uses less digits than its factorization.

102601000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 102601000 is about 10129.2151719667. The cubic root of 102601000 is about 468.1487461536.

Adding to 102601000 its reverse (106201), we get a palindrome (102707201).

It can be divided in two parts, 10 and 2601000, that multiplied together give a square (26010000 = 5100²).

The spelling of 102601000 in words is "one hundred two million, six hundred one thousand".