10106350457280 has 896 divisors, whose sum is σ = 40753821911040. Its totient is φ = 2061084917760.

The previous prime is 10106350457249. The next prime is 10106350457309. The reversal of 10106350457280 is 8275405360101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 901300954 + ... + 901312166.

It is an arithmetic number, because the mean of its divisors is an integer number (45484176240).

Almost surely, 2^{10106350457280} is an apocalyptic number.

10106350457280 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 10106350457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20376910955520).

10106350457280 is an abundant number, since it is smaller than the sum of its proper divisors (30647471453760).

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

10106350457280 is a wasteful number, since it uses less digits than its factorization.

10106350457280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11477 (or 11467 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 10106350457280 in words is "ten trillion, one hundred six billion, three hundred fifty million, four hundred fifty-seven thousand, two hundred eighty".