102649900 has 36 divisors (see below), whose sum is σ = 223437088. Its totient is φ = 40933440.

The previous prime is 102649889. The next prime is 102649907. The reversal of 102649900 is 9946201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102649907) 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, 35302 + ... + 38098.

Almost surely, 2^102649900 is an apocalyptic number.

102649900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102649900 is an abundant number, since it is smaller than the sum of its proper divisors (120787188).

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

102649900 is a wasteful number, since it uses less digits than its factorization.

102649900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 102649900 is about 10131.6286943413. The cubic root of 102649900 is about 468.2231081246.

It can be divided in two parts, 10264 and 9900, that added together give a square (20164 = 142²).

The spelling of 102649900 in words is "one hundred two million, six hundred forty-nine thousand, nine hundred".