102545941680 has 1200 divisors, whose sum is σ = 451340591520. Its totient is φ = 21636066816.

The previous prime is 102545941679. The next prime is 102545941781. The reversal of 102545941680 is 86149545201.

102545941680 is a `hidden beast` number, since 1 + 0 + 2 + 54 + 594 + 1 + 6 + 8 + 0 = 666.

It is a super-3 number, since 3×102545941680³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7888149354 + ... + 7888149366.

Almost surely, 2^102545941680 is an apocalyptic number.

102545941680 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 102545941680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225670295760).

102545941680 is an abundant number, since it is smaller than the sum of its proper divisors (348794649840).

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

102545941680 is an frugal number, since it uses more digits than its factorization.

102545941680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 102545941680 in words is "one hundred two billion, five hundred forty-five million, nine hundred forty-one thousand, six hundred eighty".