100552320 has 384 divisors, whose sum is σ = 406123200. Its totient is φ = 23316480.

The previous prime is 100552307. The next prime is 100552321. The reversal of 100552320 is 23255001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×100552320² = 20221538114764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100552293 and 100552302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100552321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4371829 + ... + 4371851.

Almost surely, 2^100552320 is an apocalyptic number.

100552320 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 100552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203061600).

100552320 is an abundant number, since it is smaller than the sum of its proper divisors (305570880).

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

100552320 is a wasteful number, since it uses less digits than its factorization.

100552320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 100552320 is about 10027.5779727709. The cubic root of 100552320 is about 465.0118623405.

The spelling of 100552320 in words is "one hundred million, five hundred fifty-two thousand, three hundred twenty".