101870406 has 64 divisors (see below), whose sum is σ = 248832000. Its totient is φ = 30636000.

The previous prime is 101870401. The next prime is 101870413. The reversal of 101870406 is 604078101.

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 101870406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101870401) 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, 87931 + ... + 89081.

It is an arithmetic number, because the mean of its divisors is an integer number (3888000).

Almost surely, 2^101870406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101870406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124416000).

101870406 is an abundant number, since it is smaller than the sum of its proper divisors (146961594).

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

101870406 is a wasteful number, since it uses less digits than its factorization.

101870406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1316 counting only the distinct ones).

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

The square root of 101870406 is about 10093.0870401478. The cubic root of 101870406 is about 467.0349112708.

The spelling of 101870406 in words is "one hundred one million, eight hundred seventy thousand, four hundred six".