106531504388100 has 243 divisors, whose sum is σ = 367044561052351. Its totient is φ = 25824993532800.

The previous prime is 106531504388087. The next prime is 106531504388159. The reversal of 106531504388100 is 1883405135601.

The square root of 106531504388100 is 10321410.

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

106531504388100 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 3 + 1 + 504 + 38 + 8 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 393377331204 + 106138127056896 = 627198^2 + 10302336^2 .

It is a super-2 number, since 2×106531504388100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3406049662 + ... + 3406080938.

Almost surely, 2^{106531504388100} is an apocalyptic number.

106531504388100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106531504388100 is the 10321410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106531504388100

106531504388100 is an abundant number, since it is smaller than the sum of its proper divisors (260513056664251).

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

106531504388100 is an equidigital number, since it uses as much as digits as its factorization.

106531504388100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62596 (or 31298 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 106531504388100 in words is "one hundred six trillion, five hundred thirty-one billion, five hundred four million, three hundred eighty-eight thousand, one hundred".