102045661456 has 40 divisors (see below), whose sum is σ = 212775571224. Its totient is φ = 47234242560.

The previous prime is 102045661451. The next prime is 102045661469. The reversal of 102045661456 is 654166540201.

102045661456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14014771456 + 88030890000 = 118384^2 + 296700^2 .

It is not an unprimeable number, because it can be changed into a prime (102045661451) 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, 3058555 + ... + 3091738.

Almost surely, 2^102045661456 is an apocalyptic number.

102045661456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102045661456 is an abundant number, since it is smaller than the sum of its proper divisors (110729909768).

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

102045661456 is a wasteful number, since it uses less digits than its factorization.

102045661456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6150379 (or 6150373 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 102045661456 in words is "one hundred two billion, forty-five million, six hundred sixty-one thousand, four hundred fifty-six".