150105400 has 48 divisors (see below), whose sum is σ = 350747640. Its totient is φ = 59740800.

The previous prime is 150105391. The next prime is 150105401. The reversal of 150105400 is 4501051.

It is a happy number.

150105400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×150105400² = 45063262218320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150105401) 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, 40422 + ... + 43978.

Almost surely, 2^150105400 is an apocalyptic number.

150105400 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 150105400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175373820).

150105400 is an abundant number, since it is smaller than the sum of its proper divisors (200642240).

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

150105400 is a wasteful number, since it uses less digits than its factorization.

150105400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3784 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 150105400 is about 12251.7508952802. The cubic root of 150105400 is about 531.4537045797.

Adding to 150105400 its reverse (4501051), we get a palindrome (154606451).

The spelling of 150105400 in words is "one hundred fifty million, one hundred five thousand, four hundred".