101413600 has 72 divisors (see below), whose sum is σ = 250062120. Its totient is φ = 40158720.

The previous prime is 101413579. The next prime is 101413603. The reversal of 101413600 is 6314101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101413603) 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, 86619 + ... + 87781.

It is an arithmetic number, because the mean of its divisors is an integer number (3473085).

Almost surely, 2^101413600 is an apocalyptic number.

101413600 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 101413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125031060).

101413600 is an abundant number, since it is smaller than the sum of its proper divisors (148648520).

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

101413600 is a wasteful number, since it uses less digits than its factorization.

101413600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 101413600 is about 10070.4319669019. The cubic root of 101413600 is about 466.3357745051.

Adding to 101413600 its reverse (6314101), we get a palindrome (107727701).

The spelling of 101413600 in words is "one hundred one million, four hundred thirteen thousand, six hundred".