100649860 has 48 divisors (see below), whose sum is σ = 224668080. Its totient is φ = 37744640.

The previous prime is 100649803. The next prime is 100649869. The reversal of 100649860 is 68946001.

It can be written as a sum of positive squares in 8 ways, for example, as 17438976 + 83210884 = 4176^2 + 9122^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (100649869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131880 + ... + 132640.

It is an arithmetic number, because the mean of its divisors is an integer number (4680585).

Almost surely, 2^100649860 is an apocalyptic number.

100649860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100649860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112334040).

100649860 is an abundant number, since it is smaller than the sum of its proper divisors (124018220).

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

100649860 is a wasteful number, since it uses less digits than its factorization.

100649860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 100649860 is about 10032.4403810838. The cubic root of 100649860 is about 465.1621741344.

The spelling of 100649860 in words is "one hundred million, six hundred forty-nine thousand, eight hundred sixty".