102538275840 has 2640 divisors, whose sum is σ = 522163825920. Its totient is φ = 18632540160.

The previous prime is 102538275839. The next prime is 102538275841. The reversal of 102538275840 is 48572835201.

102538275840 is a `hidden beast` number, since 1 + 0 + 2 + 538 + 2 + 75 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (102538275839) and next prime (102538275841).

It is a tau number, because it is divible by the number of its divisors (2640).

It is a super-3 number, since 3×102538275840³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (102538275841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5396751351 + ... + 5396751369.

It is an arithmetic number, because the mean of its divisors is an integer number (197789328).

Almost surely, 2^102538275840 is an apocalyptic number.

102538275840 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 102538275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261081912960).

102538275840 is an abundant number, since it is smaller than the sum of its proper divisors (419625550080).

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

102538275840 is a wasteful number, since it uses less digits than its factorization.

102538275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 102538275840 in words is "one hundred two billion, five hundred thirty-eight million, two hundred seventy-five thousand, eight hundred forty".