152000100 has 216 divisors, whose sum is σ = 568713600. Its totient is φ = 33200640.

The previous prime is 152000071. The next prime is 152000117. The reversal of 152000100 is 1000251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 144376 + ... + 145424.

Almost surely, 2^152000100 is an apocalyptic number.

152000100 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 152000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284356800).

152000100 is an abundant number, since it is smaller than the sum of its proper divisors (416713500).

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

152000100 is a wasteful number, since it uses less digits than its factorization.

152000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 152000100 is about 12328.8320614728. The cubic root of 152000100 is about 533.6804467795.

Adding to 152000100 its reverse (1000251), we get a palindrome (153000351).

It can be divided in two parts, 152000 and 100, that added together give a square (152100 = 390²).

The spelling of 152000100 in words is "one hundred fifty-two million, one hundred", and thus it is an aban number.