106702043136 has 384 divisors, whose sum is σ = 315368202240. Its totient is φ = 31882346496.

The previous prime is 106702043093. The next prime is 106702043153. The reversal of 106702043136 is 631340207601.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×106702043136² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106702043097 and 106702043106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 679630770 + ... + 679630926.

It is an arithmetic number, because the mean of its divisors is an integer number (821271360).

Almost surely, 2^106702043136 is an apocalyptic number.

106702043136 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 106702043136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157684101120).

106702043136 is an abundant number, since it is smaller than the sum of its proper divisors (208666159104).

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

106702043136 is a wasteful number, since it uses less digits than its factorization.

106702043136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 106702043136 in words is "one hundred six billion, seven hundred two million, forty-three thousand, one hundred thirty-six".