101400150 has 96 divisors (see below), whose sum is σ = 270696960. Its totient is φ = 25038720.

The previous prime is 101400137. The next prime is 101400151. The reversal of 101400150 is 51004101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101400151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133572 + ... + 134328.

It is an arithmetic number, because the mean of its divisors is an integer number (2819760).

Almost surely, 2^101400150 is an apocalyptic number.

101400150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101400150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135348480).

101400150 is an abundant number, since it is smaller than the sum of its proper divisors (169296810).

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

101400150 is a wasteful number, since it uses less digits than its factorization.

101400150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 101400150 is about 10069.7641481814. The cubic root of 101400150 is about 466.3151576336.

Adding to 101400150 its reverse (51004101), we get a palindrome (152404251).

It can be divided in two parts, 101400 and 150, that multiplied together give a square (15210000 = 3900²).

The spelling of 101400150 in words is "one hundred one million, four hundred thousand, one hundred fifty".