101415132 has 192 divisors, whose sum is σ = 343203840. Its totient is φ = 25132032.

The previous prime is 101415107. The next prime is 101415133. The reversal of 101415132 is 231514101.

101415132 is a `hidden beast` number, since 10 + 141 + 513 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101415133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166773 + ... + 167379.

It is an arithmetic number, because the mean of its divisors is an integer number (1787520).

Almost surely, 2^101415132 is an apocalyptic number.

101415132 is a gapful number since it is divisible by the number (12) 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 101415132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171601920).

101415132 is an abundant number, since it is smaller than the sum of its proper divisors (241788708).

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

101415132 is a wasteful number, since it uses less digits than its factorization.

101415132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 101415132 is about 10070.5080308791. The cubic root of 101415132 is about 466.3381227201.

Adding to 101415132 its reverse (231514101), we get a palindrome (332929233).

The spelling of 101415132 in words is "one hundred one million, four hundred fifteen thousand, one hundred thirty-two".