101306412 has 72 divisors (see below), whose sum is σ = 263188016. Its totient is φ = 32845824.

The previous prime is 101306399. The next prime is 101306459. The reversal of 101306412 is 214603101.

It is a happy number.

101306412 is a `hidden beast` number, since 10 + 13 + 0 + 641 + 2 = 666.

It is a super-2 number, since 2×101306412² = 20525978224627488, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 233748 + ... + 234180.

Almost surely, 2^101306412 is an apocalyptic number.

101306412 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 101306412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131594008).

101306412 is an abundant number, since it is smaller than the sum of its proper divisors (161881604).

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

101306412 is a wasteful number, since it uses less digits than its factorization.

101306412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 101306412 is about 10065.1086432288. The cubic root of 101306412 is about 466.1714204148.

Adding to 101306412 its reverse (214603101), we get a palindrome (315909513).

The spelling of 101306412 in words is "one hundred one million, three hundred six thousand, four hundred twelve".