958103916 has 96 divisors (see below), whose sum is σ = 2908459008. Its totient is φ = 238032960.

The previous prime is 958103911. The next prime is 958103921. The reversal of 958103916 is 619301859.

It is an interprime number because it is at equal distance from previous prime (958103911) and next prime (958103921).

It is a super-2 number, since 2×958103916² = 1835926227709070112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (958103911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1290 + ... + 43793.

It is an arithmetic number, because the mean of its divisors is an integer number (30296448).

Almost surely, 2^958103916 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 958103916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454229504).

958103916 is an abundant number, since it is smaller than the sum of its proper divisors (1950355092).

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

958103916 is a wasteful number, since it uses less digits than its factorization.

958103916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45131 (or 45129 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 958103916 is about 30953.2537223472. The cubic root of 958103916 is about 985.8349370605.

The spelling of 958103916 in words is "nine hundred fifty-eight million, one hundred three thousand, nine hundred sixteen".