102377960640 has 392 divisors, whose sum is σ = 381425976288. Its totient is φ = 26112430080.

The previous prime is 102377960611. The next prime is 102377960647. The reversal of 102377960640 is 46069773201.

102377960640 is a `hidden beast` number, since 1 + 0 + 2 + 37 + 7 + 9 + 606 + 4 + 0 = 666.

It is a super-3 number, since 3×102377960640³ (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 (102377960647) 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 55 ways as a sum of consecutive naturals, for example, 5355900 + ... + 5374980.

Almost surely, 2^102377960640 is an apocalyptic number.

102377960640 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 102377960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190712988144).

102377960640 is an abundant number, since it is smaller than the sum of its proper divisors (279048015648).

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

102377960640 is an equidigital number, since it uses as much as digits as its factorization.

102377960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19139 (or 19114 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 102377960640 in words is "one hundred two billion, three hundred seventy-seven million, nine hundred sixty thousand, six hundred forty".