102277987200 has 480 divisors, whose sum is σ = 379533531960. Its totient is φ = 27122135040.

The previous prime is 102277987193. The next prime is 102277987211. The reversal of 102277987200 is 2789772201.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 51061399 + ... + 51063401.

Almost surely, 2^102277987200 is an apocalyptic number.

102277987200 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 102277987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189766765980).

102277987200 is an abundant number, since it is smaller than the sum of its proper divisors (277255544760).

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

102277987200 is a wasteful number, since it uses less digits than its factorization.

102277987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2210 counting only the distinct ones).

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

The spelling of 102277987200 in words is "one hundred two billion, two hundred seventy-seven million, nine hundred eighty-seven thousand, two hundred".