100842616 has 64 divisors (see below), whose sum is σ = 223534080. Its totient is φ = 41752320.

The previous prime is 100842587. The next prime is 100842617. The reversal of 100842616 is 616248001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100842617) 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, 383301 + ... + 383563.

It is an arithmetic number, because the mean of its divisors is an integer number (3492720).

Almost surely, 2^100842616 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 100842616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111767040).

100842616 is an abundant number, since it is smaller than the sum of its proper divisors (122691464).

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

100842616 is a wasteful number, since it uses less digits than its factorization.

100842616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 100842616 is about 10042.0424217387. The cubic root of 100842616 is about 465.4589310389.

The spelling of 100842616 in words is "one hundred million, eight hundred forty-two thousand, six hundred sixteen".