106720671037400 has 192 divisors, whose sum is σ = 283817551656960. Its totient is φ = 36558285120000.

The previous prime is 106720671037381. The next prime is 106720671037423. The reversal of 106720671037400 is 4730176027601.

It is a super-2 number, since 2×106720671037400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9303513665 + ... + 9303525135.

It is an arithmetic number, because the mean of its divisors is an integer number (1478216414880).

Almost surely, 2^{106720671037400} is an apocalyptic number.

106720671037400 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 106720671037400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141908775828480).

106720671037400 is an abundant number, since it is smaller than the sum of its proper divisors (177096880619560).

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

106720671037400 is a wasteful number, since it uses less digits than its factorization.

106720671037400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16666 (or 16657 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 44.

The spelling of 106720671037400 in words is "one hundred six trillion, seven hundred twenty billion, six hundred seventy-one million, thirty-seven thousand, four hundred".