151008100 has 36 divisors (see below), whose sum is σ = 336552244. Its totient is φ = 58769280.

The previous prime is 151008089. The next prime is 151008101. The reversal of 151008100 is 1800151.

It can be written as a sum of positive squares in 6 ways, for example, as 30184036 + 120824064 = 5494^2 + 10992^2 .

It is a super-2 number, since 2×151008100² = 45606892531220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (151008101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16707 + ... + 24106.

Almost surely, 2^151008100 is an apocalyptic number.

151008100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151008100 is an abundant number, since it is smaller than the sum of its proper divisors (185544144).

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

151008100 is a wasteful number, since it uses less digits than its factorization.

151008100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40864 (or 40857 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 16.

The square root of 151008100 is about 12288.5353073505. The cubic root of 151008100 is about 532.5169236468.

Adding to 151008100 its reverse (1800151), we get a palindrome (152808251).

The spelling of 151008100 in words is "one hundred fifty-one million, eight thousand, one hundred".