100420511400 has 480 divisors, whose sum is σ = 385889676480. Its totient is φ = 23998464000.

The previous prime is 100420511383. The next prime is 100420511413. The reversal of 100420511400 is 4115024001.

100420511400 is a `hidden beast` number, since 100 + 420 + 5 + 1 + 140 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12648232 + ... + 12656168.

It is an arithmetic number, because the mean of its divisors is an integer number (803936826).

Almost surely, 2^100420511400 is an apocalyptic number.

100420511400 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 100420511400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192944838240).

100420511400 is an abundant number, since it is smaller than the sum of its proper divisors (285469165080).

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

100420511400 is a wasteful number, since it uses less digits than its factorization.

100420511400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8047 (or 8029 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 100420511400 its reverse (4115024001), we get a palindrome (104535535401).

The spelling of 100420511400 in words is "one hundred billion, four hundred twenty million, five hundred eleven thousand, four hundred".