102927366400 has 54 divisors (see below), whose sum is σ = 254761330082. Its totient is φ = 41170944000.

The previous prime is 102927366389. The next prime is 102927366419. The reversal of 102927366400 is 4663729201.

It is a happy number.

102927366400 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 3 ways, for example, as 4460544 + 102922905856 = 2112^2 + 320816^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8034801 + ... + 8047600.

Almost surely, 2^102927366400 is an apocalyptic number.

102927366400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102927366400 is an abundant number, since it is smaller than the sum of its proper divisors (151833963682).

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

102927366400 is an equidigital number, since it uses as much as digits as its factorization.

102927366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16082427 (or 16082408 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 102927366400 in words is "one hundred two billion, nine hundred twenty-seven million, three hundred sixty-six thousand, four hundred".