100352020 has 24 divisors (see below), whose sum is σ = 223136424. Its totient is φ = 37779456.

The previous prime is 100352017. The next prime is 100352027. The reversal of 100352020 is 20253001.

It can be written as a sum of positive squares in 4 ways, for example, as 33570436 + 66781584 = 5794^2 + 8172^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100352027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147237 + ... + 147916.

It is an arithmetic number, because the mean of its divisors is an integer number (9297351).

Almost surely, 2^100352020 is an apocalyptic number.

100352020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100352020 is an abundant number, since it is smaller than the sum of its proper divisors (122784404).

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

100352020 is a wasteful number, since it uses less digits than its factorization.

100352020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295179 (or 295177 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 100352020 is about 10017.5855374436. The cubic root of 100352020 is about 464.7028895566.

It can be divided in two parts, 1003520 and 20, that multiplied together give a square (20070400 = 4480²).

The spelling of 100352020 in words is "one hundred million, three hundred fifty-two thousand, twenty".