102024100 has 36 divisors (see below), whose sum is σ = 228540928. Its totient is φ = 39492000.

The previous prime is 102024073. The next prime is 102024103. The reversal of 102024100 is 1420201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102024103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13356 + ... + 19555.

Almost surely, 2^102024100 is an apocalyptic number.

102024100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102024100 is an abundant number, since it is smaller than the sum of its proper divisors (126516828).

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

102024100 is a wasteful number, since it uses less digits than its factorization.

102024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32956 (or 32949 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 102024100 is about 10100.6979956833. The cubic root of 102024100 is about 467.2696683437.

Adding to 102024100 its reverse (1420201), we get a palindrome (103444301).

The spelling of 102024100 in words is "one hundred two million, twenty-four thousand, one hundred".