102078161760 has 48 divisors (see below), whose sum is σ = 321546211056. Its totient is φ = 27220843008.

The previous prime is 102078161753. The next prime is 102078161761. The reversal of 102078161760 is 67161870201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×102078161760² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102078161761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106330939 + ... + 106331898.

It is an arithmetic number, because the mean of its divisors is an integer number (6698879397).

Almost surely, 2^102078161760 is an apocalyptic number.

102078161760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102078161760 is an abundant number, since it is smaller than the sum of its proper divisors (219468049296).

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

102078161760 is a wasteful number, since it uses less digits than its factorization.

102078161760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212662855 (or 212662847 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The spelling of 102078161760 in words is "one hundred two billion, seventy-eight million, one hundred sixty-one thousand, seven hundred sixty".