105045415544454 has 128 divisors (see below), whose sum is σ = 262881406513152. Its totient is φ = 27185585178240.

The previous prime is 105045415544431. The next prime is 105045415544473. The reversal of 105045415544454 is 454445514540501.

It is a super-2 number, since 2×105045415544454² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105045415544397 and 105045415544406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1704504789 + ... + 1704566415.

It is an arithmetic number, because the mean of its divisors is an integer number (2053760988384).

Almost surely, 2^{105045415544454} is an apocalyptic number.

105045415544454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105045415544454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131440703256576).

105045415544454 is an abundant number, since it is smaller than the sum of its proper divisors (157835990968698).

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

105045415544454 is a wasteful number, since it uses less digits than its factorization.

105045415544454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74970.

The product of its (nonzero) digits is 12800000, while the sum is 51.

The spelling of 105045415544454 in words is "one hundred five trillion, forty-five billion, four hundred fifteen million, five hundred forty-four thousand, four hundred fifty-four".