100952820 has 72 divisors (see below), whose sum is σ = 313369056. Its totient is φ = 26292672.

The previous prime is 100952809. The next prime is 100952821. The reversal of 100952820 is 28259001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100952821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1219 + ... + 14261.

It is an arithmetic number, because the mean of its divisors is an integer number (4352348).

Almost surely, 2^100952820 is an apocalyptic number.

100952820 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 100952820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156684528).

100952820 is an abundant number, since it is smaller than the sum of its proper divisors (212416236).

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

100952820 is a wasteful number, since it uses less digits than its factorization.

100952820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13101 (or 13096 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 100952820 is about 10047.5280542032. The cubic root of 100952820 is about 465.6284253911.

The spelling of 100952820 in words is "one hundred million, nine hundred fifty-two thousand, eight hundred twenty".