101087406 has 64 divisors (see below), whose sum is σ = 271848960. Its totient is φ = 27181440.

The previous prime is 101087401. The next prime is 101087447. The reversal of 101087406 is 604780101.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101087406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101087401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1440 + ... + 14291.

It is an arithmetic number, because the mean of its divisors is an integer number (4247640).

Almost surely, 2^101087406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101087406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135924480).

101087406 is an abundant number, since it is smaller than the sum of its proper divisors (170761554).

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

101087406 is a wasteful number, since it uses less digits than its factorization.

101087406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15766 (or 15760 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 101087406 is about 10054.2232917317. The cubic root of 101087406 is about 465.8352521692.

The spelling of 101087406 in words is "one hundred one million, eighty-seven thousand, four hundred six".