151020100 has 108 divisors (see below), whose sum is σ = 411904192. Its totient is φ = 47044800.

The previous prime is 151020091. The next prime is 151020101. The reversal of 151020100 is 1020151.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (151020101) 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 35 ways as a sum of consecutive naturals, for example, 83809 + ... + 85591.

Almost surely, 2^151020100 is an apocalyptic number.

151020100 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 151020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205952096).

151020100 is an abundant number, since it is smaller than the sum of its proper divisors (260884092).

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

151020100 is a wasteful number, since it uses less digits than its factorization.

151020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1808 counting only the distinct ones).

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

The square root of 151020100 is about 12289.0235576306. The cubic root of 151020100 is about 532.5310289251.

Adding to 151020100 its reverse (1020151), we get a palindrome (152040251).

The spelling of 151020100 in words is "one hundred fifty-one million, twenty thousand, one hundred".