102601827840 has 160 divisors (see below), whose sum is σ = 328235393376. Its totient is φ = 27341291520.

The previous prime is 102601827833. The next prime is 102601827893. The reversal of 102601827840 is 48728106201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×102601827840² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13459230 + ... + 13466850.

Almost surely, 2^102601827840 is an apocalyptic number.

102601827840 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 102601827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164117696688).

102601827840 is an abundant number, since it is smaller than the sum of its proper divisors (225633565536).

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

102601827840 is an equidigital number, since it uses as much as digits as its factorization.

102601827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9400 (or 9384 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 102601827840 in words is "one hundred two billion, six hundred one million, eight hundred twenty-seven thousand, eight hundred forty".