102340400400 has 360 divisors, whose sum is σ = 423728579040. Its totient is φ = 23391970560.

The previous prime is 102340400387. The next prime is 102340400413. The reversal of 102340400400 is 4004043201.

It is an interprime number because it is at equal distance from previous prime (102340400387) and next prime (102340400413).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 432507 + ... + 625893.

Almost surely, 2^102340400400 is an apocalyptic number.

102340400400 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 102340400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211864289520).

102340400400 is an abundant number, since it is smaller than the sum of its proper divisors (321388178640).

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

102340400400 is a wasteful number, since it uses less digits than its factorization.

102340400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193428 (or 193404 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 102340400400 its reverse (4004043201), we get a palindrome (106344443601).

The spelling of 102340400400 in words is "one hundred two billion, three hundred forty million, four hundred thousand, four hundred".