101007420 has 96 divisors (see below), whose sum is σ = 299738880. Its totient is φ = 25344000.

The previous prime is 101007407. The next prime is 101007427. The reversal of 101007420 is 24700101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101007420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101007427) 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, 285964 + ... + 286316.

It is an arithmetic number, because the mean of its divisors is an integer number (3122280).

Almost surely, 2^101007420 is an apocalyptic number.

101007420 is a gapful number since it is divisible by the number (10) 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 101007420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149869440).

101007420 is an abundant number, since it is smaller than the sum of its proper divisors (198731460).

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

101007420 is a wasteful number, since it uses less digits than its factorization.

101007420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 101007420 is about 10050.2447731386. The cubic root of 101007420 is about 465.7123547950.

Adding to 101007420 its reverse (24700101), we get a palindrome (125707521).

The spelling of 101007420 in words is "one hundred one million, seven thousand, four hundred twenty".