101534400 has 252 divisors, whose sum is σ = 394298424. Its totient is φ = 24576000.

The previous prime is 101534359. The next prime is 101534431. The reversal of 101534400 is 4435101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158080 + ... + 158720.

Almost surely, 2^101534400 is an apocalyptic number.

101534400 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 101534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197149212).

101534400 is an abundant number, since it is smaller than the sum of its proper divisors (292764024).

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

101534400 is a wasteful number, since it uses less digits than its factorization.

101534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 101534400 is about 10076.4279385107. The cubic root of 101534400 is about 466.5208614789.

Adding to 101534400 its reverse (4435101), we get a palindrome (105969501).

The spelling of 101534400 in words is "one hundred one million, five hundred thirty-four thousand, four hundred".