102006414400 has 84 divisors (see below), whose sum is σ = 273817720080. Its totient is φ = 37093235200.

The previous prime is 102006414383. The next prime is 102006414449. The reversal of 102006414400 is 4414600201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2880310 + ... + 2915509.

Almost surely, 2^102006414400 is an apocalyptic number.

102006414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102006414400 is an abundant number, since it is smaller than the sum of its proper divisors (171811305680).

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

102006414400 is a wasteful number, since it uses less digits than its factorization.

102006414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5795852 (or 5795837 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The spelling of 102006414400 in words is "one hundred two billion, six million, four hundred fourteen thousand, four hundred".