105451020 has 36 divisors (see below), whose sum is σ = 319868640. Its totient is φ = 28120224.

The previous prime is 105451013. The next prime is 105451037. The reversal of 105451020 is 20154501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105451020² = 22239835238080800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105450984 and 105451002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292740 + ... + 293099.

It is an arithmetic number, because the mean of its divisors is an integer number (8885240).

Almost surely, 2^105451020 is an apocalyptic number.

105451020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105451020 is an abundant number, since it is smaller than the sum of its proper divisors (214417620).

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

105451020 is a wasteful number, since it uses less digits than its factorization.

105451020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585854 (or 585849 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 105451020 is about 10268.9347061903. The cubic root of 105451020 is about 472.4439170859.

The spelling of 105451020 in words is "one hundred five million, four hundred fifty-one thousand, twenty".