101469984 has 288 divisors, whose sum is σ = 353699136. Its totient is φ = 25159680.

The previous prime is 101469983. The next prime is 101470007. The reversal of 101469984 is 489964101.

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 (101469983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1914502 + ... + 1914554.

It is an arithmetic number, because the mean of its divisors is an integer number (1228122).

Almost surely, 2^101469984 is an apocalyptic number.

101469984 is a gapful number since it is divisible by the number (14) 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 101469984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176849568).

101469984 is an abundant number, since it is smaller than the sum of its proper divisors (252229152).

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

101469984 is a wasteful number, since it uses less digits than its factorization.

101469984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 101469984 is about 10073.2310605883. The cubic root of 101469984 is about 466.4221830501.

It can be divided in two parts, 1014 and 69984, that multiplied together give a square (70963776 = 8424²).

The spelling of 101469984 in words is "one hundred one million, four hundred sixty-nine thousand, nine hundred eighty-four".