105030948 has 48 divisors (see below), whose sum is σ = 272414016. Its totient is φ = 31224960.

The previous prime is 105030931. The next prime is 105030973. The reversal of 105030948 is 849030501.

It is a super-2 number, since 2×105030948² = 22063000075557408, 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, 511 + ... + 14502.

It is an arithmetic number, because the mean of its divisors is an integer number (5675292).

Almost surely, 2^105030948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105030948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136207008).

105030948 is an abundant number, since it is smaller than the sum of its proper divisors (167383068).

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

105030948 is a wasteful number, since it uses less digits than its factorization.

105030948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15084 (or 15082 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 105030948 is about 10248.4607624755. The cubic root of 105030948 is about 471.8157436987.

The spelling of 105030948 in words is "one hundred five million, thirty thousand, nine hundred forty-eight".