102797748000 has 432 divisors, whose sum is σ = 378938569464. Its totient is φ = 27405734400.

The previous prime is 102797747993. The next prime is 102797748023. The reversal of 102797748000 is 847797201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46702667664 + 56095080336 = 216108^2 + 236844^2 .

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26242042 + ... + 26245958.

Almost surely, 2^102797748000 is an apocalyptic number.

102797748000 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 102797748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189469284732).

102797748000 is an abundant number, since it is smaller than the sum of its proper divisors (276140821464).

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

102797748000 is an frugal number, since it uses more digits than its factorization.

102797748000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 102797748000 in words is "one hundred two billion, seven hundred ninety-seven million, seven hundred forty-eight thousand".