106761678200 has 48 divisors (see below), whose sum is σ = 248549155080. Its totient is φ = 42648197760.

The previous prime is 106761678197. The next prime is 106761678203. The reversal of 106761678200 is 2876167601.

It is an interprime number because it is at equal distance from previous prime (106761678197) and next prime (106761678203).

It is a super-2 number, since 2×106761678200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106761678203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201182 + ... + 503981.

Almost surely, 2^106761678200 is an apocalyptic number.

106761678200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106761678200 is an abundant number, since it is smaller than the sum of its proper divisors (141787476880).

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

106761678200 is a wasteful number, since it uses less digits than its factorization.

106761678200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705936 (or 705927 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The spelling of 106761678200 in words is "one hundred six billion, seven hundred sixty-one million, six hundred seventy-eight thousand, two hundred".