100281552 has 80 divisors (see below), whose sum is σ = 298111872. Its totient is φ = 28454400.

The previous prime is 100281529. The next prime is 100281553. The reversal of 100281552 is 255182001.

It is a super-3 number, since 3×100281552³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100281553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51802 + ... + 53702.

Almost surely, 2^100281552 is an apocalyptic number.

100281552 is a gapful number since it is divisible by the number (12) 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 100281552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149055936).

100281552 is an abundant number, since it is smaller than the sum of its proper divisors (197830320).

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

100281552 is a wasteful number, since it uses less digits than its factorization.

100281552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 100281552 is about 10014.0677049838. The cubic root of 100281552 is about 464.5940913773.

The spelling of 100281552 in words is "one hundred million, two hundred eighty-one thousand, five hundred fifty-two".