10420095900 has 144 divisors (see below), whose sum is σ = 31785743360. Its totient is φ = 2628288000.

The previous prime is 10420095887. The next prime is 10420095901. The reversal of 10420095900 is 959002401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420095901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5339925 + ... + 5341875.

Almost surely, 2^10420095900 is an apocalyptic number.

10420095900 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 10420095900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15892871680).

10420095900 is an abundant number, since it is smaller than the sum of its proper divisors (21365647460).

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

10420095900 is a wasteful number, since it uses less digits than its factorization.

10420095900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2924 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The spelling of 10420095900 in words is "ten billion, four hundred twenty million, ninety-five thousand, nine hundred".