105435780 has 48 divisors (see below), whose sum is σ = 297851904. Its totient is φ = 27865600.

The previous prime is 105435763. The next prime is 105435791. The reversal of 105435780 is 87534501.

It is a super-2 number, since 2×105435780² = 22233407408416800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 996 + ... + 14555.

It is an arithmetic number, because the mean of its divisors is an integer number (6205248).

Almost surely, 2^105435780 is an apocalyptic number.

105435780 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 105435780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148925952).

105435780 is an abundant number, since it is smaller than the sum of its proper divisors (192416124).

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

105435780 is a wasteful number, since it uses less digits than its factorization.

105435780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15676 (or 15674 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 105435780 is about 10268.1926355128. The cubic root of 105435780 is about 472.4211564646.

The spelling of 105435780 in words is "one hundred five million, four hundred thirty-five thousand, seven hundred eighty".