101413500 has 192 divisors, whose sum is σ = 323616384. Its totient is φ = 24576000.

The previous prime is 101413471. The next prime is 101413511. The reversal of 101413500 is 5314101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101413500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1045452 + ... + 1045548.

It is an arithmetic number, because the mean of its divisors is an integer number (1685502).

Almost surely, 2^101413500 is an apocalyptic number.

101413500 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 101413500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161808192).

101413500 is an abundant number, since it is smaller than the sum of its proper divisors (222202884).

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

101413500 is a wasteful number, since it uses less digits than its factorization.

101413500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 101413500 is about 10070.4270018704. The cubic root of 101413500 is about 466.3356212266.

Adding to 101413500 its reverse (5314101), we get a palindrome (106727601).

The spelling of 101413500 in words is "one hundred one million, four hundred thirteen thousand, five hundred".