102030579840 has 512 divisors, whose sum is σ = 380966768640. Its totient is φ = 22744350720.

The previous prime is 102030579829. The next prime is 102030579851. The reversal of 102030579840 is 48975030201.

It is an interprime number because it is at equal distance from previous prime (102030579829) and next prime (102030579851).

It is a super-2 number, since 2×102030579840² (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 161696325 + ... + 161696955.

It is an arithmetic number, because the mean of its divisors is an integer number (744075720).

Almost surely, 2^102030579840 is an apocalyptic number.

102030579840 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 102030579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190483384320).

102030579840 is an abundant number, since it is smaller than the sum of its proper divisors (278936188800).

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

102030579840 is a wasteful number, since it uses less digits than its factorization.

102030579840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 102030579840 in words is "one hundred two billion, thirty million, five hundred seventy-nine thousand, eight hundred forty".