106801968 has 160 divisors (see below), whose sum is σ = 347200000. Its totient is φ = 28111104.

The previous prime is 106801957. The next prime is 106801969. The reversal of 106801968 is 869108601.

It is a super-2 number, since 2×106801968² = 22813320737346048, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106801969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213783 + ... + 214281.

It is an arithmetic number, because the mean of its divisors is an integer number (2170000).

Almost surely, 2^106801968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106801968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173600000).

106801968 is an abundant number, since it is smaller than the sum of its proper divisors (240398032).

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

106801968 is a wasteful number, since it uses less digits than its factorization.

106801968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 106801968 is about 10334.5037616714. The cubic root of 106801968 is about 474.4528777105.

The spelling of 106801968 in words is "one hundred six million, eight hundred one thousand, nine hundred sixty-eight".