106884217440 has 2160 divisors, whose sum is σ = 524270544336. Its totient is φ = 20309667840.

The previous prime is 106884217439. The next prime is 106884217469. The reversal of 106884217440 is 44712488601.

106884217440 is a `hidden beast` number, since 106 + 8 + 84 + 21 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×106884217440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 998917867 + ... + 998917973.

Almost surely, 2^106884217440 is an apocalyptic number.

106884217440 is a gapful number since it is divisible by the number (10) 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 106884217440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262135272168).

106884217440 is an abundant number, since it is smaller than the sum of its proper divisors (417386326896).

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

106884217440 is a wasteful number, since it uses less digits than its factorization.

106884217440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 106884217440 in words is "one hundred six billion, eight hundred eighty-four million, two hundred seventeen thousand, four hundred forty".