948375242100 has 864 divisors, whose sum is σ = 3633549104640. Its totient is φ = 203793408000.

The previous prime is 948375242093. The next prime is 948375242107. The reversal of 948375242100 is 1242573849.

948375242100 is a `hidden beast` number, since 9 + 48 + 375 + 24 + 210 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (948375242093) and next prime (948375242107).

It is a super-2 number, since 2×948375242100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948375242107) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 376188840 + ... + 376191360.

Almost surely, 2^948375242100 is an apocalyptic number.

948375242100 is a gapful number since it is divisible by the number (90) 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 948375242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816774552320).

948375242100 is an abundant number, since it is smaller than the sum of its proper divisors (2685173862540).

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

948375242100 is a wasteful number, since it uses less digits than its factorization.

948375242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 948375242100 in words is "nine hundred forty-eight billion, three hundred seventy-five million, two hundred forty-two thousand, one hundred".