102205740780 has 576 divisors, whose sum is σ = 392390369280. Its totient is φ = 21167308800.

The previous prime is 102205740731. The next prime is 102205740787. The reversal of 102205740780 is 87047502201.

102205740780 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 0 + 574 + 0 + 7 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102205740787) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18349836 + ... + 18355404.

It is an arithmetic number, because the mean of its divisors is an integer number (681233280).

Almost surely, 2^102205740780 is an apocalyptic number.

102205740780 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 102205740780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196195184640).

102205740780 is an abundant number, since it is smaller than the sum of its proper divisors (290184628500).

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

102205740780 is a wasteful number, since it uses less digits than its factorization.

102205740780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5662 (or 5657 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 102205740780 in words is "one hundred two billion, two hundred five million, seven hundred forty thousand, seven hundred eighty".