958180104 has 224 divisors, whose sum is σ = 3147840000. Its totient is φ = 273194208.

The previous prime is 958180103. The next prime is 958180109. The reversal of 958180104 is 401081859.

It is a super-2 number, since 2×958180104² = 1836218223402901632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (958180103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2000137 + ... + 2000615.

Almost surely, 2^958180104 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 958180104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573920000).

958180104 is an abundant number, since it is smaller than the sum of its proper divisors (2189659896).

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

958180104 is an equidigital number, since it uses as much as digits as its factorization.

958180104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 958180104 is about 30954.4843924107. The cubic root of 958180104 is about 985.8610674208.

The spelling of 958180104 in words is "nine hundred fifty-eight million, one hundred eighty thousand, one hundred four".