106511517840 has 1280 divisors, whose sum is σ = 453570969600. Its totient is φ = 20047233024.

The previous prime is 106511517839. The next prime is 106511517881. The reversal of 106511517840 is 48715115601.

It is a happy number.

It is a super-2 number, since 2×106511517840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 637793437 + ... + 637793603.

It is an arithmetic number, because the mean of its divisors is an integer number (354352320).

Almost surely, 2^106511517840 is an apocalyptic number.

106511517840 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 106511517840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226785484800).

106511517840 is an abundant number, since it is smaller than the sum of its proper divisors (347059451760).

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

106511517840 is a wasteful number, since it uses less digits than its factorization.

106511517840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 39.

The spelling of 106511517840 in words is "one hundred six billion, five hundred eleven million, five hundred seventeen thousand, eight hundred forty".