100406520322410 has 128 divisors (see below), whose sum is σ = 249936165872640. Its totient is φ = 25799733825536.

The previous prime is 100406520322397. The next prime is 100406520322421. The reversal of 100406520322410 is 14223025604001.

It is a super-3 number, since 3×100406520322410³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27522184 + ... + 30956156.

It is an arithmetic number, because the mean of its divisors is an integer number (1952626295880).

Almost surely, 2^{100406520322410} is an apocalyptic number.

100406520322410 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 100406520322410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124968082936320).

100406520322410 is an abundant number, since it is smaller than the sum of its proper divisors (149529645550230).

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

100406520322410 is a wasteful number, since it uses less digits than its factorization.

100406520322410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3434352.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 100406520322410 its reverse (14223025604001), we get a palindrome (114629545926411).

The spelling of 100406520322410 in words is "one hundred trillion, four hundred six billion, five hundred twenty million, three hundred twenty-two thousand, four hundred ten".