10105454000 has 160 divisors (see below), whose sum is σ = 25985568960. Its totient is φ = 3790080000.

The previous prime is 10105453991. The next prime is 10105454033. The reversal of 10105454000 is 45450101.

It is a super-2 number, since 2×10105454000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3836684 + ... + 3839316.

It is an arithmetic number, because the mean of its divisors is an integer number (162409806).

Almost surely, 2^10105454000 is an apocalyptic number.

10105454000 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 10105454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12992784480).

10105454000 is an abundant number, since it is smaller than the sum of its proper divisors (15880114960).

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

10105454000 is a wasteful number, since it uses less digits than its factorization.

10105454000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 10105454000 in words is "ten billion, one hundred five million, four hundred fifty-four thousand".