10406040100 has 45 divisors (see below), whose sum is σ = 22806918085. Its totient is φ = 4121204000.

The previous prime is 10406040097. The next prime is 10406040107. The reversal of 10406040100 is 104060401.

Added to its reverse (104060401) it gives a 5-th power (10510100501 = 101⁵).

It is a happy number.

The square root of 10406040100 is 102010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 611375076 + 9794665024 = 24726^2 + 98968^2 .

It is not an unprimeable number, because it can be changed into a prime (10406040107) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 103030050 + ... + 103030150.

Almost surely, 2^10406040100 is an apocalyptic number.

10406040100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10406040100 is the 102010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10406040100

10406040100 is an abundant number, since it is smaller than the sum of its proper divisors (12400877985).

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

10406040100 is an frugal number, since it uses more digits than its factorization.

10406040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Multiplying 10406040100 by its sum of digits (16), we get a square (166496641600 = 408040²).

Adding to 10406040100 its reverse (104060401), we get a 5-th power (10510100501 = 101⁵).

10406040100 divided by its reverse (104060401) gives a square (100 = 10²).

The spelling of 10406040100 in words is "ten billion, four hundred six million, forty thousand, one hundred".