101352000 has 224 divisors, whose sum is σ = 346155264. Its totient is φ = 26112000.

The previous prime is 101351983. The next prime is 101352001. The reversal of 101352000 is 253101.

It is a super-3 number, since 3×101352000³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101352001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 983949 + ... + 984051.

It is an arithmetic number, because the mean of its divisors is an integer number (1545336).

Almost surely, 2^101352000 is an apocalyptic number.

101352000 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 101352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173077632).

101352000 is an abundant number, since it is smaller than the sum of its proper divisors (244803264).

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

101352000 is a wasteful number, since it uses less digits than its factorization.

101352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 101352000 is about 10067.3730436495. The cubic root of 101352000 is about 466.2413358174.

The spelling of 101352000 in words is "one hundred one million, three hundred fifty-two thousand".