106351100 has 36 divisors (see below), whose sum is σ = 231381024. Its totient is φ = 42430080.

The previous prime is 106351097. The next prime is 106351123. The reversal of 106351100 is 1153601.

It is a super-2 number, since 2×106351100² = 22621112942420000, which 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 11 ways as a sum of consecutive naturals, for example, 45152 + ... + 47448.

Almost surely, 2^106351100 is an apocalyptic number.

106351100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106351100 is an abundant number, since it is smaller than the sum of its proper divisors (125029924).

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

106351100 is a wasteful number, since it uses less digits than its factorization.

106351100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 106351100 is about 10312.6669683453. Note that the first 3 decimals coincide. The cubic root of 106351100 is about 473.7842965682.

The spelling of 106351100 in words is "one hundred six million, three hundred fifty-one thousand, one hundred".