105470100 has 180 divisors, whose sum is σ = 354469500. Its totient is φ = 27095040.

The previous prime is 105470093. The next prime is 105470107. The reversal of 105470100 is 1074501.

It is an interprime number because it is at equal distance from previous prime (105470093) and next prime (105470107).

It can be written as a sum of positive squares in 6 ways, for example, as 571536 + 104898564 = 756^2 + 10242^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×105470100² = 22247883988020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105470107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 234676 + ... + 235124.

It is an arithmetic number, because the mean of its divisors is an integer number (1969275).

Almost surely, 2^105470100 is an apocalyptic number.

105470100 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 105470100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177234750).

105470100 is an abundant number, since it is smaller than the sum of its proper divisors (248999400).

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

105470100 is a wasteful number, since it uses less digits than its factorization.

105470100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 105470100 is about 10269.8636797184. The cubic root of 105470100 is about 472.4724095757.

It can be divided in two parts, 105470 and 100, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 105470100 in words is "one hundred five million, four hundred seventy thousand, one hundred".