102026822400 has 1080 divisors, whose sum is σ = 404819923200. Its totient is φ = 25291284480.

The previous prime is 102026822363. The next prime is 102026822431. The reversal of 102026822400 is 4228620201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×102026822400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 512697501 + ... + 512697699.

Almost surely, 2^102026822400 is an apocalyptic number.

102026822400 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 102026822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202409961600).

102026822400 is an abundant number, since it is smaller than the sum of its proper divisors (302793100800).

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

102026822400 is a wasteful number, since it uses less digits than its factorization.

102026822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 102026822400 in words is "one hundred two billion, twenty-six million, eight hundred twenty-two thousand, four hundred".