102016100 has 36 divisors (see below), whose sum is σ = 222162864. Its totient is φ = 40661280.

The previous prime is 102016087. The next prime is 102016121. The reversal of 102016100 is 1610201.

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, 29039 + ... + 32361.

Almost surely, 2^102016100 is an apocalyptic number.

102016100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102016100 is an abundant number, since it is smaller than the sum of its proper divisors (120146764).

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

102016100 is a wasteful number, since it uses less digits than its factorization.

102016100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 102016100 is about 10100.3019756837. The cubic root of 102016100 is about 467.2574547097.

Adding to 102016100 its reverse (1610201), we get a palindrome (103626301).

The spelling of 102016100 in words is "one hundred two million, sixteen thousand, one hundred".