101006430 has 64 divisors (see below), whose sum is σ = 278553600. Its totient is φ = 22961664.

The previous prime is 101006429. The next prime is 101006447. The reversal of 101006430 is 34600101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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, 40582 + ... + 42998.

It is an arithmetic number, because the mean of its divisors is an integer number (4352400).

Almost surely, 2^101006430 is an apocalyptic number.

101006430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101006430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139276800).

101006430 is an abundant number, since it is smaller than the sum of its proper divisors (177547170).

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

101006430 is a wasteful number, since it uses less digits than its factorization.

101006430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 101006430 is about 10050.1955204862. The cubic root of 101006430 is about 465.7108332674.

Adding to 101006430 its reverse (34600101), we get a palindrome (135606531).

The spelling of 101006430 in words is "one hundred one million, six thousand, four hundred thirty".