105486240 has 48 divisors (see below), whose sum is σ = 332283168. Its totient is φ = 28129536.

The previous prime is 105486229. The next prime is 105486287. The reversal of 105486240 is 42684501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105486240² = 22254693658675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 105486198 and 105486207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109402 + ... + 110361.

It is an arithmetic number, because the mean of its divisors is an integer number (6922566).

Almost surely, 2^105486240 is an apocalyptic number.

105486240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105486240 is an abundant number, since it is smaller than the sum of its proper divisors (226796928).

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

105486240 is a wasteful number, since it uses less digits than its factorization.

105486240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219781 (or 219773 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 105486240 is about 10270.6494439252. The cubic root of 105486240 is about 472.4965090305.

The spelling of 105486240 in words is "one hundred five million, four hundred eighty-six thousand, two hundred forty".