105670499616 has 384 divisors, whose sum is σ = 343574784000. Its totient is φ = 31328640000.

The previous prime is 105670499611. The next prime is 105670499621. The reversal of 105670499616 is 616994076501.

It is a happy number.

105670499616 is a `hidden beast` number, since 10 + 5 + 6 + 7 + 0 + 4 + 9 + 9 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (105670499611) and next prime (105670499621).

It is a super-2 number, since 2×105670499616² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (105670499611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100542291 + ... + 100543341.

It is an arithmetic number, because the mean of its divisors is an integer number (894726000).

Almost surely, 2^105670499616 is an apocalyptic number.

105670499616 is a gapful number since it is divisible by the number (16) 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 105670499616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171787392000).

105670499616 is an abundant number, since it is smaller than the sum of its proper divisors (237904284384).

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

105670499616 is a wasteful number, since it uses less digits than its factorization.

105670499616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 105670499616 in words is "one hundred five billion, six hundred seventy million, four hundred ninety-nine thousand, six hundred sixteen".