106998002136 has 128 divisors (see below), whose sum is σ = 308148480000. Its totient is φ = 34364269440.

The previous prime is 106998002131. The next prime is 106998002141. The reversal of 106998002136 is 631200899601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106998002131) and next prime (106998002141).

It is a super-2 number, since 2×106998002136² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106998002091 and 106998002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106998002131) 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, 1498495 + ... + 1568273.

It is an arithmetic number, because the mean of its divisors is an integer number (2407410000).

Almost surely, 2^106998002136 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 106998002136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154074240000).

106998002136 is an abundant number, since it is smaller than the sum of its proper divisors (201150477864).

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

106998002136 is a wasteful number, since it uses less digits than its factorization.

106998002136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70054 (or 70044 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 106998002136 in words is "one hundred six billion, nine hundred ninety-eight million, two thousand, one hundred thirty-six".