100677948 has 72 divisors (see below), whose sum is σ = 279159552. Its totient is φ = 28145376.

The previous prime is 100677947. The next prime is 100678027. The reversal of 100677948 is 849776001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100677947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25815 + ... + 29457.

It is an arithmetic number, because the mean of its divisors is an integer number (3877216).

Almost surely, 2^100677948 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 100677948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139579776).

100677948 is an abundant number, since it is smaller than the sum of its proper divisors (178481604).

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

100677948 is a wasteful number, since it uses less digits than its factorization.

100677948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 100677948 is about 10033.8401422387. The cubic root of 100677948 is about 465.2054404968.

The spelling of 100677948 in words is "one hundred million, six hundred seventy-seven thousand, nine hundred forty-eight".