10106464231040 has 128 divisors (see below), whose sum is σ = 24816902487120. Its totient is φ = 3932828467200.

The previous prime is 10106464231021. The next prime is 10106464231043. The reversal of 10106464231040 is 4013246460101.

It can be written as a sum of positive squares in 8 ways, for example, as 6341653573696 + 3764810657344 = 2518264^2 + 1940312^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 10106464230988 and 10106464231006.

It is not an unprimeable number, because it can be changed into a prime (10106464231043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227329454 + ... + 227373906.

Almost surely, 2^{10106464231040} is an apocalyptic number.

10106464231040 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 10106464231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12408451243560).

10106464231040 is an abundant number, since it is smaller than the sum of its proper divisors (14710438256080).

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

10106464231040 is an equidigital number, since it uses as much as digits as its factorization.

10106464231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54110 (or 54098 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 10106464231040 in words is "ten trillion, one hundred six billion, four hundred sixty-four million, two hundred thirty-one thousand, forty".