101465406 has 64 divisors (see below), whose sum is σ = 264015360. Its totient is φ = 28278720.

The previous prime is 101465389. The next prime is 101465407. The reversal of 101465406 is 604564101.

101465406 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 654 + 0 + 6 = 666.

It is a super-2 number, since 2×101465406² = 20590457229489672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101465406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101465407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12225 + ... + 18771.

It is an arithmetic number, because the mean of its divisors is an integer number (4125240).

Almost surely, 2^101465406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101465406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132007680).

101465406 is an abundant number, since it is smaller than the sum of its proper divisors (162549954).

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

101465406 is a wasteful number, since it uses less digits than its factorization.

101465406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6606 (or 6600 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 101465406 is about 10073.0038220980. The cubic root of 101465406 is about 466.4151684540.

The spelling of 101465406 in words is "one hundred one million, four hundred sixty-five thousand, four hundred six".