100743552 has 288 divisors, whose sum is σ = 368681040. Its totient is φ = 25712640.

The previous prime is 100743509. The next prime is 100743553. The reversal of 100743552 is 255347001.

It is a happy number.

100743552 is a `hidden beast` number, since 100 + 7 + 4 + 3 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100743553) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3249777 + ... + 3249807.

Almost surely, 2^100743552 is an apocalyptic number.

100743552 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 100743552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184340520).

100743552 is an abundant number, since it is smaller than the sum of its proper divisors (267937488).

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

100743552 is a wasteful number, since it uses less digits than its factorization.

100743552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 100743552 is about 10037.1087470446. The cubic root of 100743552 is about 465.3064646426.

The spelling of 100743552 in words is "one hundred million, seven hundred forty-three thousand, five hundred fifty-two".