102351400 has 24 divisors (see below), whose sum is σ = 237967470. Its totient is φ = 40940480.

The previous prime is 102351397. The next prime is 102351401. The reversal of 102351400 is 4153201.

It can be written as a sum of positive squares in 3 ways, for example, as 55264356 + 47087044 = 7434^2 + 6862^2 .

It is not an unprimeable number, because it can be changed into a prime (102351401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 255679 + ... + 256078.

Almost surely, 2^102351400 is an apocalyptic number.

102351400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102351400 is an abundant number, since it is smaller than the sum of its proper divisors (135616070).

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

102351400 is a wasteful number, since it uses less digits than its factorization.

102351400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511773 (or 511764 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 102351400 is about 10116.8868729466. The cubic root of 102351400 is about 467.7688122027.

The spelling of 102351400 in words is "one hundred two million, three hundred fifty-one thousand, four hundred".