101538450 has 144 divisors (see below), whose sum is σ = 311370696. Its totient is φ = 23500800.

The previous prime is 101538439. The next prime is 101538457. The reversal of 101538450 is 54835101.

101538450 = T₂₇₂₉ + T₂₇₃₀ + ... + T₂₇₅₅.

It can be written as a sum of positive squares in 12 ways, for example, as 5948721 + 95589729 = 2439^2 + 9777^2 .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101538457) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 98940 + ... + 99960.

Almost surely, 2^101538450 is an apocalyptic number.

101538450 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 101538450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155685348).

101538450 is an abundant number, since it is smaller than the sum of its proper divisors (209832246).

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

101538450 is a wasteful number, since it uses less digits than its factorization.

101538450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 101538450 is about 10076.6289005798. The cubic root of 101538450 is about 466.5270642514.

The spelling of 101538450 in words is "one hundred one million, five hundred thirty-eight thousand, four hundred fifty".