103977984 has 176 divisors, whose sum is σ = 321886656. Its totient is φ = 29491200.

The previous prime is 103977971. The next prime is 103978019. The reversal of 103977984 is 489779301.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×103977984² = 21622842313408512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574374 + ... + 574554.

Almost surely, 2^103977984 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 103977984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160943328).

103977984 is an abundant number, since it is smaller than the sum of its proper divisors (217908672).

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

103977984 is a wasteful number, since it uses less digits than its factorization.

103977984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 103977984 is about 10196.9595468453. The cubic root of 103977984 is about 470.2337512379.

It can be divided in two parts, 10397 and 7984, that added together give a palindrome (18381).

The spelling of 103977984 in words is "one hundred three million, nine hundred seventy-seven thousand, nine hundred eighty-four".