100089948 has 216 divisors, whose sum is σ = 313582080. Its totient is φ = 24675840.

The previous prime is 100089943. The next prime is 100089953. The reversal of 100089948 is 849980001.

It is an interprime number because it is at equal distance from previous prime (100089943) and next prime (100089953).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100089943) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3228693 + ... + 3228723.

Almost surely, 2^100089948 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 100089948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156791040).

100089948 is an abundant number, since it is smaller than the sum of its proper divisors (213492132).

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

100089948 is a wasteful number, since it uses less digits than its factorization.

100089948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 100089948 is about 10004.4963891242. The cubic root of 100089948 is about 464.2980088669.

The spelling of 100089948 in words is "one hundred million, eighty-nine thousand, nine hundred forty-eight".