106840245960 has 288 divisors, whose sum is σ = 418824095040. Its totient is φ = 23135134464.

The previous prime is 106840245947. The next prime is 106840245973. The reversal of 106840245960 is 69542048601.

106840245960 is a `hidden beast` number, since 10 + 6 + 8 + 40 + 2 + 4 + 596 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106840245947) and next prime (106840245973).

It is a super-2 number, since 2×106840245960² (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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 850999 + ... + 968441.

It is an arithmetic number, because the mean of its divisors is an integer number (1454250330).

Almost surely, 2^106840245960 is an apocalyptic number.

106840245960 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 106840245960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209412047520).

106840245960 is an abundant number, since it is smaller than the sum of its proper divisors (311983849080).

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

106840245960 is a wasteful number, since it uses less digits than its factorization.

106840245960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117505 (or 117479 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 106840245960 in words is "one hundred six billion, eight hundred forty million, two hundred forty-five thousand, nine hundred sixty".