102354100 has 18 divisors (see below), whose sum is σ = 222108614. Its totient is φ = 40941600.

The previous prime is 102354089. The next prime is 102354139. The reversal of 102354100 is 1453201.

It can be written as a sum of positive squares in 3 ways, for example, as 868624 + 101485476 = 932^2 + 10074^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 511671 + ... + 511870.

Almost surely, 2^102354100 is an apocalyptic number.

102354100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102354100 is an abundant number, since it is smaller than the sum of its proper divisors (119754514).

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

102354100 is a wasteful number, since it uses less digits than its factorization.

102354100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023555 (or 1023548 counting only the distinct ones).

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

The square root of 102354100 is about 10117.0203123252. The cubic root of 102354100 is about 467.7729253680.

The spelling of 102354100 in words is "one hundred two million, three hundred fifty-four thousand, one hundred".